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	2090h	Isogeny class
Conductor	2090	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1738618750000 = -1 · 24 · 58 · 114 · 19	Discriminant
Eigenvalues	2+  0 5-  0 11+  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,46,63428]	[a1,a2,a3,a4,a6]
Generators	[-8:254:1]	Generators of the group modulo torsion
j	10633486599/1738618750000	j-invariant
L	2.3488761991628	L(r)(E,1)/r!
Ω	0.66412262850671	Real period
R	0.44210137148245	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	16720bi4 66880l3 18810x4 10450w4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090h4

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

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Quadratic twists for elliptic curve 2090h4

-4	8	-3	5	-7	-11	-19
16720bi4	66880l3	18810x4	10450w4	102410d3	22990be3	39710bb3

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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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