Lemniscate Case

The case of the Weierstrass elliptic function with invariants  and . In this case, the half-periods are given by , where  is  times the lemniscate constant,

			(1)
			(2)
			(3)

(OEIS A093341; Abramowitz and Stegun 1972, p. 658).

REFERENCES:

Abramowitz, M. and Stegun, I. A. (Eds.). "Lemniscate Case (, )." §18.14 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 658-662, 1972.

Sloane, N. J. A. Sequence A093341 in "The On-Line Encyclopedia of Integer Sequences."