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	32	Product of Tamagawa factors cp
Δ	1439452851984 = 24 · 38 · 72 · 234	Discriminant
Eigenvalues	2- 3+ -2 7- -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5074,-128689]	[a1,a2,a3,a4,a6]
Generators	[-45:127:1]	Generators of the group modulo torsion
j	14447092394873377/1439452851984	j-invariant
L	2.7656988558768	L(r)(E,1)/r!
Ω	0.56929719666586	Real period
R	2.4290466140307	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	7728r4 30912y3 2898i4 24150bc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966g3

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 966g3

-4	8	-3	5	-7	-11	-23
7728r4	30912y3	2898i4	24150bc3	6762bh4	116886b3	22218t3

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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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