Cremona's table of elliptic curves

722 = 2 · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Conductor	722	Conductor
Count	3	Number of curves in isogeny class
Curves	722e1 722e2 722e3	Curves in isogeny class
deg	720	Modular degree for the optimal curve
Eigenvalues	2- -1  0 -1 -6 -5  3 19-	Hecke eigenvalues for primes less than 20
L	2.5648119356171	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5776l 23104l 6498j 18050e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 722e

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	0	-1	-6	-5	3	-	3	-9	4	-2	0	8	0	3	-9	-10	-5	6	-7	10	-6	12	10

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Quadratic twists for isogeny class 722e

-4	8	-3	5	-7	-11	13	-19
5776l	23104l	6498j	18050e	35378o	87362q	122018j	38a

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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