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	16	Product of Tamagawa factors cp
Δ	367853400 = 23 · 37 · 52 · 292	Discriminant
Eigenvalues	2+ 3- 5- -2  2  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1179,15853]	[a1,a2,a3,a4,a6]
Generators	[-1:131:1]	Generators of the group modulo torsion
j	248739515569/504600	j-invariant
L	2.4867994645482	L(r)(E,1)/r!
Ω	1.6996842617926	Real period
R	0.36577373816556	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	20880cj2 83520bq2 870e2 13050be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610g2

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 2610g2

-4	8	-3	5	-7	29
20880cj2	83520bq2	870e2	13050be2	127890bk2	75690bo2

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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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