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	974426618950400 = 28 · 52 · 712 · 11	Discriminant
Eigenvalues	2-  2 5- 7+ 11+ -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-196140,33466412]	[a1,a2,a3,a4,a6]
Generators	[18101869:808350:68921]	Generators of the group modulo torsion
j	3259751350395879376/3806353980275	j-invariant
L	5.5443162345276	L(r)(E,1)/r!
Ω	0.49322721988583	Real period
R	11.240896712495	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	1540c4 24640bi4 55440df4 30800bn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160i4

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 6160i4

-4	8	-3	5	-7	-11
1540c4	24640bi4	55440df4	30800bn4	43120bk4	67760cm4

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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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