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	6080m	Isogeny class
Conductor	6080	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	29573120 = 214 · 5 · 192	Discriminant
Eigenvalues	2-  2 5+ -4 -4  0  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-81,-79]	[a1,a2,a3,a4,a6]
j	3631696/1805	j-invariant
L	1.6734152932727	L(r)(E,1)/r!
Ω	1.6734152932727	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6080e2 1520d2 54720ep2 30400bk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080m2

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	+	-4	-4	0	6	+	-8	6	8	8	-2	0	-12	-4	8	14	-2	8	-2	-4	12	6	0

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Quadratic twists for elliptic curve 6080m2

-4	8	-3	5	-19
6080e2	1520d2	54720ep2	30400bk2	115520cd2

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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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