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	12	Product of Tamagawa factors cp
Δ	12782924000000 = 28 · 56 · 74 · 113	Discriminant
Eigenvalues	2-  2 5- 7+ 11+ -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9140,-285988]	[a1,a2,a3,a4,a6]
Generators	[109:30:1]	Generators of the group modulo torsion
j	329890530231376/49933296875	j-invariant
L	5.5443162345276	L(r)(E,1)/r!
Ω	0.49322721988583	Real period
R	3.7469655708317	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	1540c2 24640bi2 55440df2 30800bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160i2

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 6160i2

-4	8	-3	5	-7	-11
1540c2	24640bi2	55440df2	30800bn2	43120bk2	67760cm2

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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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