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	8	Product of Tamagawa factors cp
Δ	-177609314617308 = -1 · 22 · 34 · 7 · 238	Discriminant
Eigenvalues	2- 3+ -2 7- -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,6266,-609505]	[a1,a2,a3,a4,a6]
Generators	[117:1261:1]	Generators of the group modulo torsion
j	27207619911317663/177609314617308	j-invariant
L	2.7656988558768	L(r)(E,1)/r!
Ω	0.28464859833293	Real period
R	4.8580932280614	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	7728r6 30912y5 2898i6 24150bc5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966g6

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 966g6

-4	8	-3	5	-7	-11	-23
7728r6	30912y5	2898i6	24150bc5	6762bh6	116886b5	22218t5

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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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