Cremona's table of elliptic curves

960 = 2⁶ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Class	960k	Isogeny class
Conductor	960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-61440000 = -1 · 215 · 3 · 54	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,95,97]	[a1,a2,a3,a4,a6]
Generators	[3:20:1]	Generators of the group modulo torsion
j	2863288/1875	j-invariant
L	2.1856460520614	L(r)(E,1)/r!
Ω	1.2330149084393	Real period
R	1.7726031024458	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	960n4 480c4 2880y4 4800cc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960k4

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
-	+	-	0	-4	-2	-2	-8	4	6	0	-2	-6	-4	-12	6	-12	-14	12	0	2	-8	4	2	-14

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Quadratic twists for elliptic curve 960k4

-4	8	-3	5	-7	-11
960n4	480c4	2880y4	4800cc4	47040gj3	116160gj3

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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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