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	2660c	Isogeny class
Conductor	2660	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-158493440 = -1 · 28 · 5 · 73 · 192	Discriminant
Eigenvalues	2- -1 5+ 7-  3 -3  5 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-141,-839]	[a1,a2,a3,a4,a6]
Generators	[43:-266:1]	Generators of the group modulo torsion
j	-1219600384/619115	j-invariant
L	2.6535663790876	L(r)(E,1)/r!
Ω	0.67609406569924	Real period
R	0.21804710597672	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	10640n1 42560br1 23940s1 13300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2660c1

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	+	-	3	-3	5	+	-8	1	4	8	-4	-12	-3	0	2	-10	-8	0	6	11	4	-10	-9

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Quadratic twists for elliptic curve 2660c1

-4	8	-3	5	-7	-19
10640n1	42560br1	23940s1	13300a1	18620n1	50540c1

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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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