I almost chose “Enoshima”, but that would have been cheating, since Enoshima isn’t actually in Kamakura (though it’s a major destination for visitors to the city). That would also have been selling Kamakura short, since one of its most important temples begins with an え: 円覚寺 (Engaku-ji). Actually, I might have to revisit this kana, as there are plenty more え places and things connected to the city.
Located in Kita-Kamakura, right by the station there, Engaku-ji is a Zen temple, and the second of Kamakura’s five great Zen temples. It’s one of the larger temples in the area, and deserves a nice, slow stroll rather than a dash through.
The temple is notable for its Great Bell (a National Treasure), and for the zazen sessions it holds. It also has a good bon festival in mid-August.
Festival: Bon Odori is late August. Other events can be found on the Engaku-ji event calendar (Japanese only).