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	6160d	Isogeny class
Conductor	6160	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	151782400 = 210 · 52 · 72 · 112	Discriminant
Eigenvalues	2+  0 5- 7+ 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1027,-12654]	[a1,a2,a3,a4,a6]
Generators	[81:660:1]	Generators of the group modulo torsion
j	116986321764/148225	j-invariant
L	3.9833889083525	L(r)(E,1)/r!
Ω	0.84341240834654	Real period
R	2.3614716056654	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3080e2 24640z2 55440g2 30800l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160d2

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

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Quadratic twists for elliptic curve 6160d2

-4	8	-3	5	-7	-11
3080e2	24640z2	55440g2	30800l2	43120i2	67760p2

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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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