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	966g	Isogeny class
Conductor	966	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-664731648 = -1 · 216 · 32 · 72 · 23	Discriminant
Eigenvalues	2- 3+ -2 7- -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,126,1167]	[a1,a2,a3,a4,a6]
Generators	[-5:23:1]	Generators of the group modulo torsion
j	221115865823/664731648	j-invariant
L	2.7656988558768	L(r)(E,1)/r!
Ω	1.1385943933317	Real period
R	0.60726165350767	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	7728r1 30912y1 2898i1 24150bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966g1

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

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Quadratic twists for elliptic curve 966g1

-4	8	-3	5	-7	-11	-23
7728r1	30912y1	2898i1	24150bc1	6762bh1	116886b1	22218t1

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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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