 Klein j-invariant

ID: klein-j-invariant

The Klein j-invariant is the weight-zero level-one modular function

j (τ) = \frac{E _{4} ( τ ) ^{3}}{Δ ( τ )} = q^{- 1} + 744 + O (q) .

It is holomorphic on the upper half-plane and has a simple pole at infinity.

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