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	960a	Isogeny class
Conductor	960	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	491520 = 215 · 3 · 5	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-641,6465]	[a1,a2,a3,a4,a6]
Generators	[16:7:1]	Generators of the group modulo torsion
j	890277128/15	j-invariant
L	2.0503200250297	L(r)(E,1)/r!
Ω	2.7025732251094	Real period
R	1.5173095078278	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	960f3 480g3 2880q3 4800q4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960a4

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

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Quadratic twists for elliptic curve 960a4

-4	8	-3	5	-7	-11
960f3	480g3	2880q3	4800q4	47040dd4	116160m4

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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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