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	2190m	Isogeny class
Conductor	2190	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-79935000 = -1 · 23 · 3 · 54 · 732	Discriminant
Eigenvalues	2- 3+ 5- -4  0 -4  8 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,90,315]	[a1,a2,a3,a4,a6]
Generators	[3:23:1]	Generators of the group modulo torsion
j	80565593759/79935000	j-invariant
L	3.7277635103485	L(r)(E,1)/r!
Ω	1.2691738911114	Real period
R	0.48952623650913	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	17520x2 70080u2 6570f2 10950o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190m2

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

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Quadratic twists for elliptic curve 2190m2

-4	8	-3	5	-7
17520x2	70080u2	6570f2	10950o2	107310cw2

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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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