Cremona's table of elliptic curves

507 = 3 · 13²

Field	Data	Notes
Atkin-Lehner	3+ 13+	Signs for the Atkin-Lehner involutions
Conductor	507	Conductor
Count	2	Number of curves in isogeny class
Curves	507a1 507a2	Curves in isogeny class
deg	312	Modular degree for the optimal curve
Eigenvalues	1 3+ -1  2 -2 13+ -7 -6	Hecke eigenvalues for primes less than 20
L	2.0594887788138	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8112bd 32448x 1521e 12675y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 507a

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	+	-1	2	-2	+	-7	-6	-6	-1	4	1	9	6	6	-9	0	1	-2	6	11	-4	-14	-14	-2

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Quadratic twists for isogeny class 507a

-4	8	-3	5	-7	-11	13
8112bd	32448x	1521e	12675y	24843q	61347m	507b

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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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