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	16	Product of Tamagawa factors cp
Δ	2600000000 = 29 · 58 · 13	Discriminant
Eigenvalues	2-  0 5- -4 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-347,414]	[a1,a2,a3,a4,a6]
j	9024895368/5078125	j-invariant
L	1.244345813167	L(r)(E,1)/r!
Ω	1.244345813167	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2080e2 4160l4 18720m2 10400a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080f3

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 2080f3

-4	8	-3	5	-7	13
2080e2	4160l4	18720m2	10400a3	101920w3	27040b3

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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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