Cremona's table of elliptic curves

6080 = 2⁶ · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 19+	Signs for the Atkin-Lehner involutions
Class	6080u	Isogeny class
Conductor	6080	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	417027200000 = 210 · 55 · 194	Discriminant
Eigenvalues	2-  2 5- -2  0 -6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3685,-79083]	[a1,a2,a3,a4,a6]
Generators	[-36:75:1]	Generators of the group modulo torsion
j	5405726654464/407253125	j-invariant
L	5.3881975874279	L(r)(E,1)/r!
Ω	0.61566495850392	Real period
R	1.7503668230595	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6080j1 1520i1 54720do1 30400bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080u1

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	-	-2	0	-6	2	+	2	2	-4	10	-10	6	6	-6	-4	-2	-2	-12	-6	-8	-2	2	-18

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Quadratic twists for elliptic curve 6080u1

-4	8	-3	5	-19
6080j1	1520i1	54720do1	30400bi1	115520cx1

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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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