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	2080c	Isogeny class
Conductor	2080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-17305600 = -1 · 212 · 52 · 132	Discriminant
Eigenvalues	2-  2 5+  4  6 13+ -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-81,-319]	[a1,a2,a3,a4,a6]
j	-14526784/4225	j-invariant
L	3.1324665804331	L(r)(E,1)/r!
Ω	0.78311664510828	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	2080d2 4160t1 18720u2 10400l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080c2

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 2080c2

-4	8	-3	5	-7	13
2080d2	4160t1	18720u2	10400l2	101920bt2	27040k2

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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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