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	6988960000 = 28 · 54 · 112 · 192	Discriminant
Eigenvalues	2+  0 5-  0 11+  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1474,21780]	[a1,a2,a3,a4,a6]
Generators	[1:142:1]	Generators of the group modulo torsion
j	354308756121081/6988960000	j-invariant
L	2.3488761991628	L(r)(E,1)/r!
Ω	1.3282452570134	Real period
R	0.88420274296489	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16720bi2 66880l2 18810x2 10450w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090h2

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 2090h2

-4	8	-3	5	-7	-11	-19
16720bi2	66880l2	18810x2	10450w2	102410d2	22990be2	39710bb2

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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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