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	960l	Isogeny class
Conductor	960	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	33177600 = 214 · 34 · 52	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-81,-81]	[a1,a2,a3,a4,a6]
Generators	[-6:15:1]	Generators of the group modulo torsion
j	3631696/2025	j-invariant
L	2.5949647961735	L(r)(E,1)/r!
Ω	1.7061708770019	Real period
R	0.7604645089047	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	960b2 240a2 2880be2 4800bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960l2

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	-6	-6	-4	0	2	8	2	-6	12	-8	-6	12	-14	4	-8	-6	8	-12	10	2

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Quadratic twists for elliptic curve 960l2

-4	8	-3	5	-7	-11
960b2	240a2	2880be2	4800bi2	47040fm2	116160hs2

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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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