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	6160k	Isogeny class
Conductor	6160	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	433664000000 = 215 · 56 · 7 · 112	Discriminant
Eigenvalues	2-  2 5- 7+ 11-  2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4320,-103168]	[a1,a2,a3,a4,a6]
j	2177286259681/105875000	j-invariant
L	3.5438841099737	L(r)(E,1)/r!
Ω	0.59064735166228	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	770g2 24640bc2 55440cp2 30800bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160k2

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	-	+	-	2	6	-2	6	0	-8	8	0	4	0	12	-12	-10	4	12	14	10	0	-18	8

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Quadratic twists for elliptic curve 6160k2

-4	8	-3	5	-7	-11
770g2	24640bc2	55440cp2	30800bz2	43120bv2	67760cl2

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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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