  We give an explicit formula of the normalized Mumford form which expresses
the second tautological line bundle by the Hodge line bundle defined on the
moduli space of algebraic curves of any genus. This formula is represented by
an infinite product which is a higher genus version of the Ramanujan delta
function under the trivialization by normalized abelian differentials and
Eichler integrals of their products. By this formula, we have a universal
expression of the normalized Mumford form as a computable power series with
integral coefficients by the moduli parameters of algebraic curves.
