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	2090m	Isogeny class
Conductor	2090	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-1178890625000 = -1 · 23 · 59 · 11 · 193	Discriminant
Eigenvalues	2-  1 5+  2 11- -1  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-396,-52360]	[a1,a2,a3,a4,a6]
j	-6868751617729/1178890625000	j-invariant
L	3.4710634263623	L(r)(E,1)/r!
Ω	0.38567371404025	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16720r2 66880v2 18810g2 10450h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090m2

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	6	-	3	6	-1	2	9	-1	9	-12	6	-1	-1	0	5	14	-3	-6	-10

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Quadratic twists for elliptic curve 2090m2

-4	8	-3	5	-7	-11	-19
16720r2	66880v2	18810g2	10450h2	102410cn2	22990c2	39710i2

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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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