Cremona's table of elliptic curves

2660 = 2² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	2660h	Isogeny class
Conductor	2660	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-232750000 = -1 · 24 · 56 · 72 · 19	Discriminant
Eigenvalues	2- -2 5- 7-  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-285,1900]	[a1,a2,a3,a4,a6]
Generators	[-15:55:1]	Generators of the group modulo torsion
j	-160568836096/14546875	j-invariant
L	2.5520879769443	L(r)(E,1)/r!
Ω	1.7239340759429	Real period
R	1.4803860614847	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	10640u1 42560p1 23940n1 13300g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660h1

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	-	-	0	2	-6	-	0	-6	-4	-4	0	-4	12	12	0	-10	-4	-6	-10	2	0	0	-10

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Quadratic twists for elliptic curve 2660h1

-4	8	-3	5	-7	-19
10640u1	42560p1	23940n1	13300g1	18620e1	50540q1

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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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