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	960h	Isogeny class
Conductor	960	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	345600000000 = 215 · 33 · 58	Discriminant
Eigenvalues	2+ 3- 5- -4 -4 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1985,-19617]	[a1,a2,a3,a4,a6]
Generators	[-29:120:1]	Generators of the group modulo torsion
j	26410345352/10546875	j-invariant
L	2.6461902537619	L(r)(E,1)/r!
Ω	0.74032465949424	Real period
R	0.14893185824096	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	960d3 480e2 2880o3 4800g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 960h3

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

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Quadratic twists for elliptic curve 960h3

-4	8	-3	5	-7	-11
960d3	480e2	2880o3	4800g3	47040r4	116160et4

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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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