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	6080r	Isogeny class
Conductor	6080	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-4864000000 = -1 · 214 · 56 · 19	Discriminant
Eigenvalues	2- -2 5+  0 -4 -4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,239,-2961]	[a1,a2,a3,a4,a6]
Generators	[10:23:1]	Generators of the group modulo torsion
j	91765424/296875	j-invariant
L	2.1975876027404	L(r)(E,1)/r!
Ω	0.69917765436742	Real period
R	3.1431033143196	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	6080b2 1520a2 54720eu2 30400bu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080r2

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	+	0	-4	-4	-2	-	4	6	8	4	-2	4	8	0	-8	-2	-14	8	6	4	16	-18	-4

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Quadratic twists for elliptic curve 6080r2

-4	8	-3	5	-19
6080b2	1520a2	54720eu2	30400bu2	115520ca2

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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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