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	6160n	Isogeny class
Conductor	6160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7884800 = 212 · 52 · 7 · 11	Discriminant
Eigenvalues	2-  0 5- 7- 11+ -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-164267,-25625574]	[a1,a2,a3,a4,a6]
j	119678115308998401/1925	j-invariant
L	1.8971512671809	L(r)(E,1)/r!
Ω	0.23714390839761	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	385a4 24640bo4 55440dt4 30800z4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160n3

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	-	-	+	-6	6	4	8	-10	4	6	-10	-4	4	6	0	-6	-4	0	6	8	-12	10	10

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Quadratic twists for elliptic curve 6160n3

-4	8	-3	5	-7	-11
385a4	24640bo4	55440dt4	30800z4	43120be4	67760by4

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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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