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	6080k	Isogeny class
Conductor	6080	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	6225920 = 216 · 5 · 19	Discriminant
Eigenvalues	2-  0 5+  0 -4  6 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-8108,-281008]	[a1,a2,a3,a4,a6]
j	899466517764/95	j-invariant
L	1.0062389358347	L(r)(E,1)/r!
Ω	0.50311946791734	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	6080c4 1520b3 54720eg4 30400ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080k3

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	+	0	-4	6	-6	+	-8	2	0	-2	2	4	8	6	-4	2	8	-8	2	8	4	-14	14

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Quadratic twists for elliptic curve 6080k3

-4	8	-3	5	-19
6080c4	1520b3	54720eg4	30400ba4	115520bs4

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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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