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	128	Product of Tamagawa factors cp
Δ	26337394944 = 28 · 34 · 74 · 232	Discriminant
Eigenvalues	2- 3+ -2 7- -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1154,12431]	[a1,a2,a3,a4,a6]
Generators	[-31:155:1]	Generators of the group modulo torsion
j	169967019783457/26337394944	j-invariant
L	2.7656988558768	L(r)(E,1)/r!
Ω	1.1385943933317	Real period
R	1.2145233070153	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	7728r2 30912y2 2898i2 24150bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966g2

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 966g2

-4	8	-3	5	-7	-11	-23
7728r2	30912y2	2898i2	24150bc2	6762bh2	116886b2	22218t2

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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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