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Om Arithmetic on Modular Curves
Let N be prime, and be a weight two newform for r 0 (N) . For a primitive Dirichlet character X of conductor prime to N, let i\ f (X) denote the algebraic part of L (f , X, 1) (see below). Mazur's congruence formulae were extended to r 1 (N), N prime, by S.