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	6160h	Isogeny class
Conductor	6160	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	173465600 = 213 · 52 · 7 · 112	Discriminant
Eigenvalues	2- -2 5+ 7+ 11-  2  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1176,15124]	[a1,a2,a3,a4,a6]
Generators	[14:40:1]	Generators of the group modulo torsion
j	43949604889/42350	j-invariant
L	2.4064861319349	L(r)(E,1)/r!
Ω	1.7972999704867	Real period
R	0.33473629492177	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	770a2 24640br2 55440dv2 30800bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160h2

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

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Quadratic twists for elliptic curve 6160h2

-4	8	-3	5	-7	-11
770a2	24640br2	55440dv2	30800bv2	43120cs2	67760bu2

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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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