Cremona's table of elliptic curves

2190 = 2 · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 73+	Signs for the Atkin-Lehner involutions
Class	2190n	Isogeny class
Conductor	2190	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	1362355200 = 210 · 36 · 52 · 73	Discriminant
Eigenvalues	2- 3- 5+ -2 -6 -4  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-326,1380]	[a1,a2,a3,a4,a6]
Generators	[28:-134:1]	Generators of the group modulo torsion
j	3832302404449/1362355200	j-invariant
L	4.5441947930921	L(r)(E,1)/r!
Ω	1.3956717169088	Real period
R	0.10853065082183	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	17520i1 70080j1 6570i1 10950f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190n1

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

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Quadratic twists for elliptic curve 2190n1

-4	8	-3	5	-7
17520i1	70080j1	6570i1	10950f1	107310ct1

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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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