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	2166d	Isogeny class
Conductor	2166	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1.0426559945958E+20	Discriminant
Eigenvalues	2+ 3-  2  0 -4 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1917640,1133889974]	[a1,a2,a3,a4,a6]
Generators	[-464:44093:1]	Generators of the group modulo torsion
j	-16576888679672833/2216253521952	j-invariant
L	2.9073689744586	L(r)(E,1)/r!
Ω	0.18265105212731	Real period
R	1.3264678470216	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	17328v4 69312t3 6498w4 54150bv3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2166d4

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	0	-4	-2	-6	-	-4	2	-4	-10	-10	4	-4	10	-12	14	12	-8	-6	4	12	6	-10

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Quadratic twists for elliptic curve 2166d4

-4	8	-3	5	-7	-19
17328v4	69312t3	6498w4	54150bv3	106134q3	114c4

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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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