Cremona's table of elliptic curves

2166 = 2 · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 19-	Signs for the Atkin-Lehner involutions
Class	2166i	Isogeny class
Conductor	2166	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-2005724828016018 = -1 · 2 · 310 · 198	Discriminant
Eigenvalues	2- 3-  0  4  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-30873,2997819]	[a1,a2,a3,a4,a6]
j	-69173457625/42633378	j-invariant
L	4.3124002684509	L(r)(E,1)/r!
Ω	0.43124002684509	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17328t2 69312m2 6498k2 54150j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2166i2

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

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Quadratic twists for elliptic curve 2166i2

-4	8	-3	5	-7	-19
17328t2	69312m2	6498k2	54150j2	106134ce2	114b2

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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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