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	2610j	Isogeny class
Conductor	2610	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	62347345920 = 216 · 38 · 5 · 29	Discriminant
Eigenvalues	2- 3- 5+  0  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1013,3341]	[a1,a2,a3,a4,a6]
Generators	[-9:112:1]	Generators of the group modulo torsion
j	157551496201/85524480	j-invariant
L	4.3992277544065	L(r)(E,1)/r!
Ω	0.9649789129296	Real period
R	0.28493030362257	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	20880bq1 83520cs1 870d1 13050f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610j1

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

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Quadratic twists for elliptic curve 2610j1

-4	8	-3	5	-7	29
20880bq1	83520cs1	870d1	13050f1	127890fs1	75690d1

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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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