Ability power

Ability power (or AP) is a stat that increases the effectiveness of most champions' abilities. Abilities in League of Legends that are affected by ability power have an ability power ratio. This ratio determines how much a particular ability will benefit from a champion's total ability power, whether through increased damage, healing, and other numerical values. Ability power stacks additively. ,, , , , , , and have no abilities or innate effects that scale with ability power.

Calculations To calculate the bonus to a numerical value in an ability, the formula is
 * Bonus = AP &times; AP ratio.

For example, if a damage spell has an ability power ratio of, every 4 points of ability power will increase the damage of this ability by 1. Abilities that are affected by ability power are identifiable by a bracketed plus sign with a green font, along with a number that corresponds to the applicable bonus. For example a champion with 50 ability power who has an ability with an ability power ratio of, it will display "+35" (50 &times; ) next to the corresponding value in the UI.

The ability with the largest AP ratio is with a  maximum AP ratio (he must also have max attack speed to achieve this) It is theoretically possible to achieve a 500% AP ratio with  assuming all 25 cannonballs hit the same target, which is highly unlikely.

Champion abilities
Note: Only the ability power buff effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.
 * adds 50% of his total magic resistance to his bonus ability power.
 * grants him ability power for 25 seconds.
 * aura grants herself and nearby allied champions bonus ability power while active.
 * grants himself ability power, and grants nearby allies half of that amount.
 * passively generates souls for him to collect, with each soul collected permanently granting 0.75 ability power.
 * permanently grants him 1 ability power when the ability kills a unit and passively grants him ability power when he kills a champion from any damage source.
 * grants him 3 ability power per level.
 * grants him 45 ability power.
 * grants him 1 ability power per 40 bonus health.

Masteries

 * increases your champion's ability power by per champion level ( at level 18).
 * increases your champion's ability power by 8.
 * increases your champion's ability power by % per rank.

Neutral buffs

 * The buff grants +40 ability power (among other bonuses) for 4 minutes.

Runes

 * and runes increase ability power.

Trivia
is able to obtain the highest level 1 value of Ability Power in the game (without disconnecting) at 126.25725 AP. This is achieved by a combination of the following effects:
 * Galio's Base MR 30
 * (30 MR)
 * (Activated) (12 MR)
 * (10 MR)
 * (10 MR)
 * (25 AP)
 * Full ranks of, , , , and  masteries (8.89 AP + 5 MR)
 * A rune page consisting of entirely flat-value Ability Power runes (36.18 AP)
 * 30 base + 30 bulwark + 12 sona + 10 morde + 10 ori + 5 Masteries (+ 0.05 x 67 Bonus MR) = 100.35 MR = 50.175 AP
 * (36.18 + 8.89 + 25 + 50.175) x 1.05 = 126.25725
 * (36.18 + 8.89 + 25 + 50.175) x 1.05 = 126.25725

Trivia
Aside from and, who may obtain theoretically infinite ability power due to the passive effects of  and  respectively, and , whose  interacts with a metagame mechanic not intended to be seen in gameplay (bonus magic resistance when disconnected), the highest attainable ability power by a playable champion is 1782.598... on. To reach this amount, he must:
 * have a fully stacked and five.
 * have a full page of runes.
 * Maximum ranks in the, , and masteries.
 * possess the buff.
 * have consumed an.
 * be affected by the auras of nearby and  abilities
 * have killed an enemy with the same setup (except a  in place of one of the  and maximum ranks in the  Mastery as well as maximum ranks in, , and  masteries.) with

This combination will result in having 1782.598... AP. The Janna ghost spawned will have 3761.684... AP, though she is not a playable character.

Relevant mathematics:


 * AP(1801204undefinedundefined16840402035)(undefinedundefined)
 * AP(1801205undefined16840402035)(undefinedundefined)
 * ghost AP((undefined))(undefinedundefined)


 * The following builds grant the following ability power (No masteries):
 * 936 — 6 x
 * ? — +  + 4 x
 * ? — Including 833 runes of Scaling Mana and an average of ~1000 mana at level 18.
 * ? — +  +  +  + 2 x
 * ? — Including 833 runes of Scaling Mana and an average of ~1000 mana at level 18.
 * Muramana grants up to 368 bonus physical damage to single target spells and attacks.

Ability power Fähigkeitsstärke Ability power Puissance 法术强度