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	2080b	Isogeny class
Conductor	2080	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-432640000 = -1 · 212 · 54 · 132	Discriminant
Eigenvalues	2-  0 5+ -2 -2 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-428,-3552]	[a1,a2,a3,a4,a6]
j	-2116874304/105625	j-invariant
L	1.0465925548175	L(r)(E,1)/r!
Ω	0.52329627740874	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	2080a2 4160f1 18720t2 10400f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080b2

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	+	-2	-2	+	-2	2	4	2	6	2	2	4	6	6	14	6	-10	-2	-14	4	14	-14	-6

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Quadratic twists for elliptic curve 2080b2

-4	8	-3	5	-7	13
2080a2	4160f1	18720t2	10400f2	101920bq2	27040i2

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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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