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	966d	Isogeny class
Conductor	966	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	22862322 = 2 · 32 · 74 · 232	Discriminant
Eigenvalues	2+ 3+ -4 7-  2  2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-72,-90]	[a1,a2,a3,a4,a6]
Generators	[-3:12:1]	Generators of the group modulo torsion
j	42180533641/22862322	j-invariant
L	1.3761745478694	L(r)(E,1)/r!
Ω	1.7441234008496	Real period
R	0.19725877010752	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	7728q2 30912be2 2898s2 24150cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966d2

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

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Quadratic twists for elliptic curve 966d2

-4	8	-3	5	-7	-11	-23
7728q2	30912be2	2898s2	24150cd2	6762v2	116886be2	22218f2

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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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