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	2090b	Isogeny class
Conductor	2090	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	10115600 = 24 · 52 · 113 · 19	Discriminant
Eigenvalues	2+  2 5+  2 11+ -6 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-533,-4963]	[a1,a2,a3,a4,a6]
Generators	[31:82:1]	Generators of the group modulo torsion
j	16794916941529/10115600	j-invariant
L	2.9766374175538	L(r)(E,1)/r!
Ω	0.99340744292326	Real period
R	2.9963912982115	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	16720ba1 66880bx1 18810bg1 10450t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090b1

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

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Quadratic twists for elliptic curve 2090b1

-4	8	-3	5	-7	-11	-19
16720ba1	66880bx1	18810bg1	10450t1	102410t1	22990z1	39710t1

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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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