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	966k	Isogeny class
Conductor	966	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-34776 = -1 · 23 · 33 · 7 · 23	Discriminant
Eigenvalues	2- 3- -3 7-  0  5  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,3,9]	[a1,a2,a3,a4,a6]
j	2924207/34776	j-invariant
L	2.7119467172261	L(r)(E,1)/r!
Ω	2.7119467172261	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7728j1 30912k1 2898j1 24150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966k1

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
-	-	-3	-	0	5	0	8	+	3	2	-7	9	-1	-3	-12	-6	14	-4	6	-4	-16	-12	6	-1

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Quadratic twists for elliptic curve 966k1

-4	8	-3	5	-7	-11	-23
7728j1	30912k1	2898j1	24150e1	6762y1	116886m1	22218be1

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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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