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	2190o	Isogeny class
Conductor	2190	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	431298285187500 = 22 · 35 · 56 · 734	Discriminant
Eigenvalues	2- 3- 5+  4  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-81000111,-280599557715]	[a1,a2,a3,a4,a6]
j	58773364740520165234358226289/431298285187500	j-invariant
L	4.0259477866744	L(r)(E,1)/r!
Ω	0.050324347333429	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17520l3 70080q4 6570o3 10950c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190o3

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

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Quadratic twists for elliptic curve 2190o3

-4	8	-3	5	-7
17520l3	70080q4	6570o3	10950c3	107310cr4

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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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