Cremona's table of elliptic curves

10956 = 2² · 3 · 11 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 83-	Signs for the Atkin-Lehner involutions
Class	10956f	Isogeny class
Conductor	10956	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	640180992 = 28 · 3 · 112 · 832	Discriminant
Eigenvalues	2- 3-  0 -4 11-  2 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1908,-32700]	[a1,a2,a3,a4,a6]
Generators	[56:198:1]	Generators of the group modulo torsion
j	3002247250000/2500707	j-invariant
L	4.9368272889273	L(r)(E,1)/r!
Ω	0.72236669036774	Real period
R	2.2780799810569	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	43824m2 32868d2 120516f2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 10956f2

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

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Quadratic twists for elliptic curve 10956f2

-4	-3	-11
43824m2	32868d2	120516f2

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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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