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	2090o	Isogeny class
Conductor	2090	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	-66395120000 = -1 · 27 · 54 · 112 · 193	Discriminant
Eigenvalues	2- -1 5- -3 11- -3  5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3345,74095]	[a1,a2,a3,a4,a6]
Generators	[263:-4312:1]	Generators of the group modulo torsion
j	-4139236042638481/66395120000	j-invariant
L	3.676738786497	L(r)(E,1)/r!
Ω	1.1032029171452	Real period
R	0.019838009471782	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16720bc1 66880a1 18810f1 10450g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090o1

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	-	-3	-	-3	5	-	3	-7	-6	-6	-10	-8	-8	-13	-1	4	11	-14	-1	4	12	-12	12

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Quadratic twists for elliptic curve 2090o1

-4	8	-3	5	-7	-11	-19
16720bc1	66880a1	18810f1	10450g1	102410bm1	22990m1	39710n1

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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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