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	960b	Isogeny class
Conductor	960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	368640000 = 216 · 32 · 54	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-801,-8415]	[a1,a2,a3,a4,a6]
Generators	[-16:7:1]	Generators of the group modulo torsion
j	868327204/5625	j-invariant
L	2.0578659515798	L(r)(E,1)/r!
Ω	0.89766801262539	Real period
R	2.2924577044482	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	960l3 120a3 2880s3 4800r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960b3

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 960b3

-4	8	-3	5	-7	-11
960l3	120a3	2880s3	4800r3	47040dn4	116160r4

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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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