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	2090a	Isogeny class
Conductor	2090	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	248187500 = 22 · 56 · 11 · 192	Discriminant
Eigenvalues	2+  0 5+  0 11+  2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-185,-559]	[a1,a2,a3,a4,a6]
Generators	[-8:23:1]	Generators of the group modulo torsion
j	702358299369/248187500	j-invariant
L	2.1139457444901	L(r)(E,1)/r!
Ω	1.3318833550689	Real period
R	0.7935926732791	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	16720w2 66880br2 18810bf2 10450s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090a2

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
+	0	+	0	+	2	4	+	2	0	2	-6	8	-8	6	-10	-2	-6	-12	-10	-12	-4	0	18	2

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Quadratic twists for elliptic curve 2090a2

-4	8	-3	5	-7	-11	-19
16720w2	66880br2	18810bf2	10450s2	102410r2	22990x2	39710r2

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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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