On the Tamagawa Number Conjecture for CM Elliptic Curves Defined Over image Original Research Article

In this paper we prove, under the assumption that the Soulé regulator map is injective, that, for all integers kgreater-or-equal, slanted0, the description by the local Tamagawa number conjecture for CM elliptic curves defined over image, corresponding to the values of their L-functions at k+2, is true.