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	2080f	Isogeny class
Conductor	2080	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	166400 = 29 · 52 · 13	Discriminant
Eigenvalues	2-  0 5- -4 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3467,-78574]	[a1,a2,a3,a4,a6]
j	9001508089608/325	j-invariant
L	1.244345813167	L(r)(E,1)/r!
Ω	0.62217290658351	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2080e3 4160l3 18720m3 10400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080f2

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	-	-4	-4	-	2	4	0	6	-4	6	10	8	12	-10	12	6	4	-4	2	-8	-12	-6	10

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Quadratic twists for elliptic curve 2080f2

-4	8	-3	5	-7	13
2080e3	4160l3	18720m3	10400a2	101920w4	27040b4

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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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