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	2960f	Isogeny class
Conductor	2960	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	94720000 = 212 · 54 · 37	Discriminant
Eigenvalues	2- -1 5+  5 -3 -2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2501,-47315]	[a1,a2,a3,a4,a6]
j	422550360064/23125	j-invariant
L	1.3501688491096	L(r)(E,1)/r!
Ω	0.67508442455479	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	185a1 11840bl1 26640bx1 14800u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2960f1

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	+	5	-3	-2	-4	4	2	2	0	+	7	10	-11	-3	0	-4	-16	15	11	12	3	-4	8

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Quadratic twists for elliptic curve 2960f1

-4	8	-3	5	37
185a1	11840bl1	26640bx1	14800u1	109520v1

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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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