A curve X over Q is modular if it is dominated by X₁(N) for some N; if in addition the image of its jacobian in J₁(N) is contained in the new subvariety of J₁(N), then X is called a new modular curve.
Let f be a newform, as specified by its Hecke eigenvalues, on a Shimura curve X. We describe a method for evaluating f. The most interesting case is when X arises as a compact quotient of the ...
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