Notation Question From Ribet's "From the Taniyama-Shimura Conjecture to Fermat’s Last Theorem"

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What is $J$ on page 19 (...and their analogues $T_n \in \operatorname{End}(J)$ which were introduced by Shimura...)? This object is referenced constantly throughout the paper, but never defined, as far as I can tell (by going through every instance of the letter $J$ found in the entire paper up until and shortly after this point).