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	966c	Isogeny class
Conductor	966	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4224	Modular degree for the optimal curve
Δ	-101902222098432 = -1 · 222 · 38 · 7 · 232	Discriminant
Eigenvalues	2+ 3+  2 7- -4 -4 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14744,836928]	[a1,a2,a3,a4,a6]
Generators	[-121:992:1]	Generators of the group modulo torsion
j	-354499561600764553/101902222098432	j-invariant
L	1.765336952229	L(r)(E,1)/r!
Ω	0.56647157552992	Real period
R	1.5581867021108	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	7728p1 30912bd1 2898r1 24150ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966c1

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

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Quadratic twists for elliptic curve 966c1

-4	8	-3	5	-7	-11	-23
7728p1	30912bd1	2898r1	24150ce1	6762t1	116886bc1	22218c1

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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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