At Level 62 you can pick up the quest The Outcast’s Plight from Vekax in Lower City, Shattrath.

Collect 1080 Arakkoa Feathers from grinding mobs or the auction house. You need 30 per turn-in.
Turning in The Outcast’s Plight gives 250 rep.

After turning in The Outcast’s Plight the repeatable quest More Feathers becomes available.

Turning in More Feathers gives 250 rep.

Inside of the Outcast's Cache that you receive, there is a 2-3% chance to get a blue item with a random enchantment requiring level 63 to equip.

36 turn-ins of the Arakkoa Feathers gives 9000 rep.

This method becomes unavailable at Honored. You’ll have to complete quests for Lower City and/or run Shadow Labyrinth, Auchenai Crypts or Sethekk Halls to continue gaining reputation.