Cremona's table of elliptic curves

6160 = 2⁴ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	6160p	Isogeny class
Conductor	6160	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	61440	Modular degree for the optimal curve
Δ	-207791099084800000 = -1 · 220 · 55 · 78 · 11	Discriminant
Eigenvalues	2-  0 5- 7- 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-193427,39409746]	[a1,a2,a3,a4,a6]
Generators	[167:3430:1]	Generators of the group modulo torsion
j	-195395722614328041/50730248800000	j-invariant
L	4.342995801621	L(r)(E,1)/r!
Ω	0.30110863972441	Real period
R	0.36058379175004	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	770c1 24640bk1 55440dk1 30800bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160p1

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	-	-	-	2	6	-4	-4	-2	-8	-10	-6	-12	-12	6	12	6	-8	8	14	0	-4	-6	-14

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Quadratic twists for elliptic curve 6160p1

-4	8	-3	5	-7	-11
770c1	24640bk1	55440dk1	30800bk1	43120bn1	67760bx1

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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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