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
Δ	36731340800000 = 214 · 55 · 72 · 114	Discriminant
Eigenvalues	2-  0 5- 7- 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-52266707,145440654994]	[a1,a2,a3,a4,a6]
Generators	[4713:61600:1]	Generators of the group modulo torsion
j	3855131356812007128171561/8967612500	j-invariant
L	4.342995801621	L(r)(E,1)/r!
Ω	0.30110863972441	Real period
R	1.4423351670001	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	770c3 24640bk4 55440dk4 30800bk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160p4

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 6160p4

-4	8	-3	5	-7	-11
770c3	24640bk4	55440dk4	30800bk4	43120bn4	67760bx4

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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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