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
deg	4608	Modular degree for the optimal curve
Δ	-17661952000 = -1 · 218 · 53 · 72 · 11	Discriminant
Eigenvalues	2-  2 5- 7+ 11-  2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,160,-6400]	[a1,a2,a3,a4,a6]
j	109902239/4312000	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	770g1 24640bc1 55440cp1 30800bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160k1

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 6160k1

-4	8	-3	5	-7	-11
770g1	24640bc1	55440cp1	30800bz1	43120bv1	67760cl1

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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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