Cremona's table of elliptic curves

2080 = 2⁵ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	2080d	Isogeny class
Conductor	2080	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	4160 = 26 · 5 · 13	Discriminant
Eigenvalues	2- -2 5+ -4 -6 13+ -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-86,280]	[a1,a2,a3,a4,a6]
Generators	[-4:24:1] [1:14:1]	Generators of the group modulo torsion
j	1111934656/65	j-invariant
L	2.4786322970595	L(r)(E,1)/r!
Ω	4.1516388146389	Real period
R	1.1940500644315	Regulator
r	2	Rank of the group of rational points
S	1.0000000000006	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2080c1 4160r2 18720v1 10400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080d1

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
-	-2	+	-4	-6	+	-6	-6	-2	2	2	-10	10	-6	-4	-6	-10	-14	8	-6	-6	12	4	10	-2

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Quadratic twists for elliptic curve 2080d1

-4	8	-3	5	-7	13
2080c1	4160r2	18720v1	10400k1	101920bs1	27040l1

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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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