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	3956b	Isogeny class
Conductor	3956	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	13104	Modular degree for the optimal curve
Δ	-100728356024048 = -1 · 24 · 237 · 432	Discriminant
Eigenvalues	2- -1 -4 -4  0  3  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6010,446341]	[a1,a2,a3,a4,a6]
Generators	[-25:529:1]	Generators of the group modulo torsion
j	1500219760227584/6295522251503	j-invariant
L	1.8170579997488	L(r)(E,1)/r!
Ω	0.42719701563034	Real period
R	0.30381733105838	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15824f1 63296l1 35604e1 98900e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3956b1

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	-4	-4	0	3	2	4	-	3	1	-10	3	+	1	8	-4	-12	10	-5	-9	4	0	6	10

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Quadratic twists for elliptic curve 3956b1

-4	8	-3	5	-23
15824f1	63296l1	35604e1	98900e1	90988f1

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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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