Cremona's table of elliptic curves

2090 = 2 · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 19-	Signs for the Atkin-Lehner involutions
Class	2090d	Isogeny class
Conductor	2090	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1618496000000 = 212 · 56 · 113 · 19	Discriminant
Eigenvalues	2+ -2 5+  2 11+  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3194,-33108]	[a1,a2,a3,a4,a6]
j	3601910963276569/1618496000000	j-invariant
L	0.66235354259955	L(r)(E,1)/r!
Ω	0.66235354259955	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16720u3 66880bo3 18810bi3 10450y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090d3

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	+	2	+	2	0	-	0	-6	-4	8	6	2	-12	-12	12	-10	14	0	8	-16	6	6	8

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Quadratic twists for elliptic curve 2090d3

-4	8	-3	5	-7	-11	-19
16720u3	66880bo3	18810bi3	10450y3	102410o3	22990u3	39710s3

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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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