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	2166a	Isogeny class
Conductor	2166	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-8107008768 = -1 · 28 · 35 · 194	Discriminant
Eigenvalues	2+ 3+  0  1 -2 -3  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1090,14068]	[a1,a2,a3,a4,a6]
Generators	[36:134:1]	Generators of the group modulo torsion
j	-1100553625/62208	j-invariant
L	2.006771893103	L(r)(E,1)/r!
Ω	1.2943874428836	Real period
R	0.25839402570125	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17328z1 69312bb1 6498r1 54150ci1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2166a1

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	1	-2	-3	4	+	4	0	-3	-5	4	-9	10	-4	-14	11	3	14	-11	1	8	-14	2

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Quadratic twists for elliptic curve 2166a1

-4	8	-3	5	-7	-19
17328z1	69312bb1	6498r1	54150ci1	106134v1	2166h1

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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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