Cremona's table of elliptic curves

2610 = 2 · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	2610n	Isogeny class
Conductor	2610	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-153272250000 = -1 · 24 · 36 · 56 · 292	Discriminant
Eigenvalues	2- 3- 5- -2 -2 -6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,88,18811]	[a1,a2,a3,a4,a6]
Generators	[31:-241:1]	Generators of the group modulo torsion
j	104487111/210250000	j-invariant
L	4.5647527707905	L(r)(E,1)/r!
Ω	0.8050805907592	Real period
R	0.23624719599427	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	20880cm2 83520w2 290a2 13050n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610n2

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

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Quadratic twists for elliptic curve 2610n2

-4	8	-3	5	-7	29
20880cm2	83520w2	290a2	13050n2	127890fe2	75690q2

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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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