Cremona's table of elliptic curves

3956 = 2² · 23 · 43

Field	Data	Notes
Atkin-Lehner	2- 23- 43-	Signs for the Atkin-Lehner involutions
Class	3956c	Isogeny class
Conductor	3956	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	-680432 = -1 · 24 · 23 · 432	Discriminant
Eigenvalues	2- -1  0 -4 -4 -5 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,22,1]	[a1,a2,a3,a4,a6]
Generators	[0:1:1] [12:43:1]	Generators of the group modulo torsion
j	70304000/42527	j-invariant
L	3.541975532748	L(r)(E,1)/r!
Ω	1.7609344733547	Real period
R	0.33523635569106	Regulator
r	2	Rank of the group of rational points
S	0.99999999999969	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15824c1 63296h1 35604g1 98900b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3956c1

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	-4	-4	-5	-2	-8	-	3	-7	-10	11	-	1	4	-4	8	-14	-5	-9	8	16	-6	-2

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Quadratic twists for elliptic curve 3956c1

-4	8	-3	5	-23
15824c1	63296h1	35604g1	98900b1	90988a1

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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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