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	2090n	Isogeny class
Conductor	2090	Conductor
∏ cp	25	Product of Tamagawa factors cp
deg	800	Modular degree for the optimal curve
Δ	-20900000 = -1 · 25 · 55 · 11 · 19	Discriminant
Eigenvalues	2- -1 5- -2 11- -1 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-485,3915]	[a1,a2,a3,a4,a6]
j	-12618417497041/20900000	j-invariant
L	2.1551855730644	L(r)(E,1)/r!
Ω	2.1551855730644	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	16720be1 66880f1 18810c1 10450e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090n1

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
-	-1	-	-2	-	-1	-2	+	9	10	7	-2	7	-1	3	4	10	-3	-7	-8	9	-10	-11	10	18

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Quadratic twists for elliptic curve 2090n1

-4	8	-3	5	-7	-11	-19
16720be1	66880f1	18810c1	10450e1	102410bu1	22990o1	39710l1

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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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