Cremona's table of elliptic curves

116160 = 2⁶ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	116160fm	Isogeny class
Conductor	116160	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-448984419840000 = -1 · 212 · 32 · 54 · 117	Discriminant
Eigenvalues	2- 3+ 5+  2 11- -6  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5001,1030185]	[a1,a2,a3,a4,a6]
Generators	[59:968:1]	Generators of the group modulo torsion
j	-1906624/61875	j-invariant
L	4.9431711795898	L(r)(E,1)/r!
Ω	0.44039996756793	Real period
R	1.4030346044921	Regulator
r	1	Rank of the group of rational points
S	1.0000000050716	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116160hw2 58080bb1 10560bj2	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160fm2

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

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Quadratic twists for elliptic curve 116160fm2

-4	8	-11
116160hw2	58080bb1	10560bj2

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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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