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	966i	Isogeny class
Conductor	966	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-22848457968 = -1 · 24 · 36 · 7 · 234	Discriminant
Eigenvalues	2- 3- -2 7+  4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-599,-9255]	[a1,a2,a3,a4,a6]
j	-23771111713777/22848457968	j-invariant
L	2.7858591746316	L(r)(E,1)/r!
Ω	0.46430986243861	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7728l1 30912e1 2898e1 24150j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966i1

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	0	-	-2	4	6	-6	12	-12	6	-4	-10	4	-16	2	8	-16	6	-2

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Quadratic twists for elliptic curve 966i1

-4	8	-3	5	-7	-11	-23
7728l1	30912e1	2898e1	24150j1	6762bb1	116886w1	22218bh1

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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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