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	2660d	Isogeny class
Conductor	2660	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1680	Modular degree for the optimal curve
Δ	-20028565760 = -1 · 28 · 5 · 77 · 19	Discriminant
Eigenvalues	2-  1 5- 7+ -2  0 -1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1940,32948]	[a1,a2,a3,a4,a6]
Generators	[23:32:1]	Generators of the group modulo torsion
j	-3155824042576/78236585	j-invariant
L	3.7625676663052	L(r)(E,1)/r!
Ω	1.2144207241453	Real period
R	3.0982406603388	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	10640bb1 42560f1 23940h1 13300j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660d1

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
-	1	-	+	-2	0	-1	+	1	-8	2	-1	7	-11	4	-13	-4	-10	8	7	-11	-16	-6	6	-4

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Quadratic twists for elliptic curve 2660d1

-4	8	-3	5	-7	-19
10640bb1	42560f1	23940h1	13300j1	18620g1	50540h1

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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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