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	2090l	Isogeny class
Conductor	2090	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3494480 = 24 · 5 · 112 · 192	Discriminant
Eigenvalues	2- -2 5+  2 11+ -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-431,-3479]	[a1,a2,a3,a4,a6]
Generators	[-12:7:1]	Generators of the group modulo torsion
j	8855610342769/3494480	j-invariant
L	3.1918174297787	L(r)(E,1)/r!
Ω	1.0478165993928	Real period
R	0.76154009958141	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	16720v2 66880bn2 18810m2 10450d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090l2

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	-	-4	2	-8	-8	6	6	-8	4	-4	-6	-2	-12	-16	16	-6	6	-12

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Quadratic twists for elliptic curve 2090l2

-4	8	-3	5	-7	-11	-19
16720v2	66880bn2	18810m2	10450d2	102410cg2	22990d2	39710g2

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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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