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	6160i	Isogeny class
Conductor	6160	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1138842320 = 24 · 5 · 76 · 112	Discriminant
Eigenvalues	2-  2 5- 7+ 11+ -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-196085,33486080]	[a1,a2,a3,a4,a6]
Generators	[1242428:421890:4913]	Generators of the group modulo torsion
j	52112158467655991296/71177645	j-invariant
L	5.5443162345276	L(r)(E,1)/r!
Ω	0.98645443977166	Real period
R	5.6204483562475	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	1540c3 24640bi3 55440df3 30800bn3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160i3

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	-	+	+	-4	0	4	-6	-6	4	2	-6	4	-6	-6	0	-10	-2	-12	8	16	12	-18	-10

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Quadratic twists for elliptic curve 6160i3

-4	8	-3	5	-7	-11
1540c3	24640bi3	55440df3	30800bn3	43120bk3	67760cm3

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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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