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	32	Product of Tamagawa factors cp
Δ	-2924646400 = -1 · 212 · 52 · 134	Discriminant
Eigenvalues	2-  0 5- -4 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-92,-2624]	[a1,a2,a3,a4,a6]
j	-21024576/714025	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	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2080e4 4160l1 18720m4 10400a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2080f4

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 2080f4

-4	8	-3	5	-7	13
2080e4	4160l1	18720m4	10400a4	101920w2	27040b2

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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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