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	2090j	Isogeny class
Conductor	2090	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	3040	Modular degree for the optimal curve
Δ	-12053381120 = -1 · 220 · 5 · 112 · 19	Discriminant
Eigenvalues	2-  0 5+  4 11+  6  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3753,-87703]	[a1,a2,a3,a4,a6]
j	-5844547788286689/12053381120	j-invariant
L	3.049511597752	L(r)(E,1)/r!
Ω	0.3049511597752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16720y1 66880bt1 18810j1 10450a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090j1

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	+	4	+	6	0	+	-6	8	10	6	0	4	-10	-6	6	-14	4	14	0	4	-12	-6	14

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Quadratic twists for elliptic curve 2090j1

-4	8	-3	5	-7	-11	-19
16720y1	66880bt1	18810j1	10450a1	102410ch1	22990g1	39710d1

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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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