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	6160m	Isogeny class
Conductor	6160	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	169030400 = 28 · 52 · 74 · 11	Discriminant
Eigenvalues	2- -2 5- 7+ 11-  4  8  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-140,88]	[a1,a2,a3,a4,a6]
j	1193895376/660275	j-invariant
L	1.5714498468364	L(r)(E,1)/r!
Ω	1.5714498468364	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	1540b2 24640bb2 55440cz2 30800bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160m2

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	8	4	-2	-6	4	10	2	-4	-2	2	0	-2	-14	4	-16	8	4	-2	-2

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Quadratic twists for elliptic curve 6160m2

-4	8	-3	5	-7	-11
1540b2	24640bb2	55440cz2	30800bw2	43120bu2	67760co2

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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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