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A few days ago I asked a question about possible higher dimensional generalizations of the Manin-Drinfeld theorem. Let me come back to the classical statement.

It says that a divisor on the modular curve which is supported on the cusps is torsion. My question is: is there an explicit formula for the order of the group formed by this divisors?

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    $\begingroup$ You could have a look at the book Modular Units Daniel S. Kubert, Serge Lang specifically the chapter The Cuspidal Divisor Class Group on X(N) Good luck ! $\endgroup$
    – Niels
    Commented Jan 24, 2014 at 20:59

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