Cremona's table of elliptic curves

7511 = 7 · 29 · 37

Field	Data	Notes
Atkin-Lehner	7+ 29- 37+	Signs for the Atkin-Lehner involutions
Class	7511a	Isogeny class
Conductor	7511	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1088	Modular degree for the optimal curve
Δ	-217819 = -1 · 7 · 292 · 37	Discriminant
Eigenvalues	0  0  3 7+  5  7 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-26,-56]	[a1,a2,a3,a4,a6]
j	-1943764992/217819	j-invariant
L	2.1009885472423	L(r)(E,1)/r!
Ω	1.0504942736211	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	120176s1 67599a1 52577c1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 7511a1

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
0	0	3	+	5	7	-6	-4	6	-	-7	+	10	-8	2	13	9	10	7	-5	4	-4	8	1	-13

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Quadratic twists for elliptic curve 7511a1

-4	-3	-7
120176s1	67599a1	52577c1

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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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