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	6080a	Isogeny class
Conductor	6080	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-89902284800 = -1 · 219 · 52 · 193	Discriminant
Eigenvalues	2+ -1 5+ -1  0  1 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-177921,-28826879]	[a1,a2,a3,a4,a6]
Generators	[696:13565:1]	Generators of the group modulo torsion
j	-2376117230685121/342950	j-invariant
L	2.8082225126314	L(r)(E,1)/r!
Ω	0.11622847755315	Real period
R	6.0403064974916	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6080p2 190c2 54720bq2 30400c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080a2

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
+	-1	+	-1	0	1	-3	+	3	3	2	10	6	-2	0	-3	-3	-8	7	12	-13	14	-6	6	-10

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Quadratic twists for elliptic curve 6080a2

-4	8	-3	5	-19
6080p2	190c2	54720bq2	30400c2	115520k2

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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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