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	2610l	Isogeny class
Conductor	2610	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-260175720605400 = -1 · 23 · 37 · 52 · 296	Discriminant
Eigenvalues	2- 3- 5+ -4  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-21713,1461017]	[a1,a2,a3,a4,a6]
j	-1552876541267401/356893992600	j-invariant
L	2.1096275923295	L(r)(E,1)/r!
Ω	0.52740689808238	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	20880cd4 83520cl4 870c4 13050o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610l4

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
-	-	+	-4	0	-4	6	2	6	-	-4	2	12	8	0	6	-12	-4	14	0	2	-4	12	12	-10

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Quadratic twists for elliptic curve 2610l4

-4	8	-3	5	-7	29
20880cd4	83520cl4	870c4	13050o4	127890ge4	75690h4

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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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