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	12	Product of Tamagawa factors cp
Δ	80515134 = 2 · 36 · 74 · 23	Discriminant
Eigenvalues	2- 3- -2 7+  4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-178849,-29127301]	[a1,a2,a3,a4,a6]
j	632678989847546725777/80515134	j-invariant
L	2.7858591746316	L(r)(E,1)/r!
Ω	0.2321549312193	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7728l4 30912e4 2898e4 24150j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966i3

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 966i3

-4	8	-3	5	-7	-11	-23
7728l4	30912e4	2898e4	24150j4	6762bb4	116886w4	22218bh4

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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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