Abstract
In this paper, we give an explicit formula describing the variation of the 2-adic Iwasawa λ-invariants attached to the Selmer groups of elliptic curves under quadratic twists. To prove this formula, we extend some results known for odd primes p, an analogue of Kida's formula proved by Hachimori and the author and a formula given by Greenberg and Vatsal, to the case where p = 2.
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