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	966a	Isogeny class
Conductor	966	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-15049939968 = -1 · 210 · 34 · 73 · 232	Discriminant
Eigenvalues	2+ 3+ -2 7+  0  4  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,334,5556]	[a1,a2,a3,a4,a6]
Generators	[11:98:1]	Generators of the group modulo torsion
j	4101378352343/15049939968	j-invariant
L	1.4614322918687	L(r)(E,1)/r!
Ω	0.88538692368416	Real period
R	0.82530713565744	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	7728u1 30912t1 2898o1 24150cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966a1

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	+	0	4	0	6	+	-6	-10	-6	-2	12	10	-10	-12	-14	-12	-12	14	0	2	-12	12

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Quadratic twists for elliptic curve 966a1

-4	8	-3	5	-7	-11	-23
7728u1	30912t1	2898o1	24150cm1	6762n1	116886bg1	22218h1

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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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