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	2660a	Isogeny class
Conductor	2660	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	11088	Modular degree for the optimal curve
Δ	-81462500000000 = -1 · 28 · 511 · 73 · 19	Discriminant
Eigenvalues	2- -3 5+ 7+  2 -4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,10817,-32618]	[a1,a2,a3,a4,a6]
Generators	[54:842:1]	Generators of the group modulo torsion
j	546769443677616/318212890625	j-invariant
L	1.7652292664019	L(r)(E,1)/r!
Ω	0.35985709320677	Real period
R	4.9053618776039	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10640q1 42560ba1 23940q1 13300n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660a1

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
-	-3	+	+	2	-4	-3	-	1	0	10	1	3	-3	0	5	0	-6	12	9	-1	-8	2	-10	4

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Quadratic twists for elliptic curve 2660a1

-4	8	-3	5	-7	-19
10640q1	42560ba1	23940q1	13300n1	18620m1	50540a1

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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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