Cremona's table of elliptic curves

962 = 2 · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 13- 37-	Signs for the Atkin-Lehner involutions
Class	962a	Isogeny class
Conductor	962	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	7696 = 24 · 13 · 37	Discriminant
Eigenvalues	2-  0  2 -2  6 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-9,-7]	[a1,a2,a3,a4,a6]
j	72511713/7696	j-invariant
L	2.7999393874619	L(r)(E,1)/r!
Ω	2.7999393874619	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7696d1 30784a1 8658b1 24050b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 962a1

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	2	-2	6	-	2	0	6	6	0	-	2	-6	-2	10	-4	-10	-14	-6	2	-6	6	-6	6

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Quadratic twists for elliptic curve 962a1

-4	8	-3	5	-7	-11	13	37
7696d1	30784a1	8658b1	24050b1	47138m1	116402f1	12506b1	35594a1

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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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