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	2610h	Isogeny class
Conductor	2610	Conductor
∏ cp	176	Product of Tamagawa factors cp
Δ	611090784000000 = 211 · 33 · 56 · 294	Discriminant
Eigenvalues	2- 3+ 5+ -2 -2  0 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-26198,1124197]	[a1,a2,a3,a4,a6]
Generators	[953:28523:1]	Generators of the group modulo torsion
j	73645941730563747/22632992000000	j-invariant
L	4.2440284428646	L(r)(E,1)/r!
Ω	0.47662223880769	Real period
R	0.20237241158654	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	20880bi2 83520n2 2610b2 13050d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610h2

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	0	-2	4	0	-	0	-8	-4	-8	-8	-10	-14	-2	-4	-4	6	8	0	0	-6

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Quadratic twists for elliptic curve 2610h2

-4	8	-3	5	-7	29
20880bi2	83520n2	2610b2	13050d2	127890dz2	75690b2

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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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