KleinInvariantJ

Usage

• KleinInvariantJ[] gives the Klein invariant modular elliptic function .

Notes

• Mathematical function (see Section A.3.10).

• The argument

is the ratio of Weierstrass half-periods

• KleinInvariantJ is given in terms of Weierstrass invariants by

•

is invariant under any combination of the modular transformations

and

• See Section 3.2.12 for a discussion of argument conventions for elliptic functions.

• New in Version 3.