Principal moduli and class fields

Mathematics – Number Theory

Scientific paper

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15 pages AMS-LaTeX

Scientific paper

We study the values taken by Gamma_0(n) modular functions at elliptic points
of order 2 for the Fricke extension that lie outside Gamma_0(n). In the case of
a principal modulus (`Hauptmodul') for Gamma_0(n) or its Fricke extension, we
determine the class fields generated by these values.

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