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	18	Product of Tamagawa factors cp
Δ	20655023594240 = 28 · 5 · 73 · 196	Discriminant
Eigenvalues	2- -2 5- 7-  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6860,-6860]	[a1,a2,a3,a4,a6]
Generators	[-77:266:1]	Generators of the group modulo torsion
j	139482396527056/80683685915	j-invariant
L	2.5520879769443	L(r)(E,1)/r!
Ω	0.57464469198096	Real period
R	0.98692404098979	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	10640u4 42560p4 23940n4 13300g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660h4

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 2660h4

-4	8	-3	5	-7	-19
10640u4	42560p4	23940n4	13300g4	18620e4	50540q4

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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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