Cremona's table of elliptic curves

7956 = 2² · 3² · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 17-	Signs for the Atkin-Lehner involutions
Class	7956f	Isogeny class
Conductor	7956	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-43429830912 = -1 · 28 · 310 · 132 · 17	Discriminant
Eigenvalues	2- 3-  0  0  4 13- 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,465,9254]	[a1,a2,a3,a4,a6]
Generators	[38:286:1]	Generators of the group modulo torsion
j	59582000/232713	j-invariant
L	4.4945093901065	L(r)(E,1)/r!
Ω	0.81257443488875	Real period
R	2.7655985698848	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31824bl2 127296m2 2652c2 103428o2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 7956f2

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	4	-	-	2	-8	-6	-4	0	8	-8	2	-10	6	6	-14	0	-4	-8	6	-14	8

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Quadratic twists for elliptic curve 7956f2

-4	8	-3	13
31824bl2	127296m2	2652c2	103428o2

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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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