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	2610b	Isogeny class
Conductor	2610	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	-8678750552064000 = -1 · 222 · 39 · 53 · 292	Discriminant
Eigenvalues	2+ 3+ 5- -2  2  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,40701,-3188395]	[a1,a2,a3,a4,a6]
j	378827638483293/440926208000	j-invariant
L	1.3310889388107	L(r)(E,1)/r!
Ω	0.22184815646845	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20880bn1 83520h1 2610h1 13050y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610b1

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 2610b1

-4	8	-3	5	-7	29
20880bn1	83520h1	2610h1	13050y1	127890d1	75690ba1

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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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