Cremona's table of elliptic curves

966 = 2 · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	966f	Isogeny class
Conductor	966	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	2159357734550274048 = 215 · 32 · 712 · 232	Discriminant
Eigenvalues	2+ 3-  0 7-  6  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1516491,-715440266]	[a1,a2,a3,a4,a6]
j	385693937170561837203625/2159357734550274048	j-invariant
L	1.6331169365511	L(r)(E,1)/r!
Ω	0.13609307804592	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7728h4 30912n4 2898p4 24150bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966f4

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

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Quadratic twists for elliptic curve 966f4

-4	8	-3	5	-7	-11	-23
7728h4	30912n4	2898p4	24150bo4	6762f4	116886bo4	22218k4

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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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