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	6160c	Isogeny class
Conductor	6160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-324673592320 = -1 · 210 · 5 · 78 · 11	Discriminant
Eigenvalues	2+  0 5- 7+ 11+ -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,373,27274]	[a1,a2,a3,a4,a6]
j	5604672636/317064055	j-invariant
L	1.4677656936209	L(r)(E,1)/r!
Ω	0.73388284681046	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3080b4 24640bg3 55440o3 30800h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160c4

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
+	0	-	+	+	-6	6	4	-4	6	0	-10	10	-4	-12	6	4	14	8	-16	-2	0	-12	-6	18

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Quadratic twists for elliptic curve 6160c4

-4	8	-3	5	-7	-11
3080b4	24640bg3	55440o3	30800h3	43120e3	67760q3

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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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