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	2660g	Isogeny class
Conductor	2660	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-3011375360 = -1 · 28 · 5 · 73 · 193	Discriminant
Eigenvalues	2-  1 5- 7- -6 -4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-180,-2860]	[a1,a2,a3,a4,a6]
Generators	[43:266:1]	Generators of the group modulo torsion
j	-2533446736/11763185	j-invariant
L	3.8136862137893	L(r)(E,1)/r!
Ω	0.59021590079287	Real period
R	0.71794560613162	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	10640t2 42560o2 23940o2 13300f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660g2

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	-	-	-6	-4	3	-	3	0	2	-7	-3	-1	-12	-3	0	-10	-16	3	-7	8	-6	-6	8

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Quadratic twists for elliptic curve 2660g2

-4	8	-3	5	-7	-19
10640t2	42560o2	23940o2	13300f2	18620d2	50540p2

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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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