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	4	Product of Tamagawa factors cp
Δ	9830400 = 217 · 3 · 52	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12801,-553215]	[a1,a2,a3,a4,a6]
Generators	[131:28:1]	Generators of the group modulo torsion
j	1770025017602/75	j-invariant
L	2.0578659515798	L(r)(E,1)/r!
Ω	0.4488340063127	Real period
R	4.5849154088964	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	960l5 120a5 2880s5 4800r5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960b5

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 960b5

-4	8	-3	5	-7	-11
960l5	120a5	2880s5	4800r5	47040dn6	116160r6

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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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