Cremona's table of elliptic curves

10626 = 2 · 3 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11- 23-	Signs for the Atkin-Lehner involutions
Class	10626a	Isogeny class
Conductor	10626	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-3097446973236 = -1 · 22 · 33 · 7 · 114 · 234	Discriminant
Eigenvalues	2+ 3+ -2 7+ 11- -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2699,66385]	[a1,a2,a3,a4,a6]
Generators	[9:298:1]	Generators of the group modulo torsion
j	2173106048486183/3097446973236	j-invariant
L	2.0174281387232	L(r)(E,1)/r!
Ω	0.54098852899717	Real period
R	1.8645757077908	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	85008cg3 31878bb3 74382s3 116886bh3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626a4

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
+	+	-2	+	-	-6	2	4	-	-6	0	-2	-6	12	8	-6	12	6	-8	0	-2	-8	12	-6	-10

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Quadratic twists for elliptic curve 10626a4

-4	-3	-7	-11
85008cg3	31878bb3	74382s3	116886bh3

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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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