Cremona's table of elliptic curves

1517 = 37 · 41

Field	Data	Notes
Atkin-Lehner	37+ 41-	Signs for the Atkin-Lehner involutions
Conductor	1517	Conductor
Count	2	Number of curves in isogeny class
Curves	1517a1 1517a2	Curves in isogeny class
deg	744	Modular degree for the optimal curve
Eigenvalues	1  0 -2 -4  4  4  0  6	Hecke eigenvalues for primes less than 20
L	1.160892314646	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	24272d 97088i 13653a 37925f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1517a

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	-2	-4	4	4	0	6	-4	0	8	+	-	-4	0	10	-4	10	8	-12	14	-14	12	16	-8

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Quadratic twists for isogeny class 1517a

-4	8	-3	5	-7	37	41
24272d	97088i	13653a	37925f	74333c	56129b	62197a

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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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