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	2090c	Isogeny class
Conductor	2090	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	178560	Modular degree for the optimal curve
Δ	-1.205338112E+21	Discriminant
Eigenvalues	2+ -3 5+ -3 11+ -1  1 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3801610,3306953716]	[a1,a2,a3,a4,a6]
Generators	[2353:84761:1]	Generators of the group modulo torsion
j	-6076121652651798651688569/1205338112000000000000	j-invariant
L	1.0906555504096	L(r)(E,1)/r!
Ω	0.14739572082427	Real period
R	1.8498765505376	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	16720bb1 66880by1 18810bh1 10450u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2090c1

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
+	-3	+	-3	+	-1	1	+	-1	3	2	6	2	4	0	5	13	0	-15	2	3	8	-12	0	8

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Quadratic twists for elliptic curve 2090c1

-4	8	-3	5	-7	-11	-19
16720bb1	66880by1	18810bh1	10450u1	102410u1	22990bb1	39710u1

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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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