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Tamagawa numbers

Definition: for $G\in \mathsf{Alg} {\mathsf{Grp}}_{/ {k}} $ with \(G(k)\) its \(k{\hbox{-}}\)points and \(G({\mathbf{A}}_k)\) its adelic points, \(\tau = \mu(G({\mathbf{A}}_k) / G(k))\). Local Tamagawa number for elliptic curve : equals 1 when the curve has good reduction.. Show up in Birch and Swinnerton-Dyer conjecture.

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