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
Δ	-322781796400 = -1 · 24 · 52 · 76 · 193	Discriminant
Eigenvalues	2- -2 5- 7-  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1715,0]	[a1,a2,a3,a4,a6]
Generators	[28:266:1]	Generators of the group modulo torsion
j	34845190651904/20173862275	j-invariant
L	2.5520879769443	L(r)(E,1)/r!
Ω	0.57464469198096	Real period
R	0.4934620204949	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	10640u3 42560p3 23940n3 13300g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660h3

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 2660h3

-4	8	-3	5	-7	-19
10640u3	42560p3	23940n3	13300g3	18620e3	50540q3

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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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