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	2610g	Isogeny class
Conductor	2610	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	60886080 = 26 · 38 · 5 · 29	Discriminant
Eigenvalues	2+ 3- 5- -2  2  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-99,85]	[a1,a2,a3,a4,a6]
Generators	[-1:14:1]	Generators of the group modulo torsion
j	148035889/83520	j-invariant
L	2.4867994645482	L(r)(E,1)/r!
Ω	1.6996842617926	Real period
R	0.73154747633112	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	20880cj1 83520bq1 870e1 13050be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610g1

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

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Quadratic twists for elliptic curve 2610g1

-4	8	-3	5	-7	29
20880cj1	83520bq1	870e1	13050be1	127890bk1	75690bo1

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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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