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
deg	6912	Modular degree for the optimal curve
Δ	173612978000 = 24 · 53 · 72 · 116	Discriminant
Eigenvalues	2-  2 5- 7+ 11+ -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2485,44100]	[a1,a2,a3,a4,a6]
Generators	[0:210:1]	Generators of the group modulo torsion
j	106110329552896/10850811125	j-invariant
L	5.5443162345276	L(r)(E,1)/r!
Ω	0.98645443977166	Real period
R	1.8734827854158	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	1540c1 24640bi1 55440df1 30800bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160i1

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 6160i1

-4	8	-3	5	-7	-11
1540c1	24640bi1	55440df1	30800bn1	43120bk1	67760cm1

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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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