Cremona's table of elliptic curves

2960 = 2⁴ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	2960i	Isogeny class
Conductor	2960	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	324179200 = 28 · 52 · 373	Discriminant
Eigenvalues	2- -1 5+  1  3 -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-181,425]	[a1,a2,a3,a4,a6]
Generators	[53:-370:1]	Generators of the group modulo torsion
j	2575826944/1266325	j-invariant
L	2.7012800814157	L(r)(E,1)/r!
Ω	1.5227332795762	Real period
R	0.14783066507482	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	740b1 11840bh1 26640cc1 14800k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2960i1

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	+	1	3	-4	0	4	0	0	-2	-	3	-2	-3	-9	0	2	4	-15	-7	10	3	6	-10

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Quadratic twists for elliptic curve 2960i1

-4	8	-3	5	37
740b1	11840bh1	26640cc1	14800k1	109520t1

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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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