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	116160hl	Isogeny class
Conductor	116160	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	245760	Modular degree for the optimal curve
Δ	40888320000 = 214 · 3 · 54 · 113	Discriminant
Eigenvalues	2- 3- 5+ -2 11+  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-27441,1740495]	[a1,a2,a3,a4,a6]
Generators	[77:300:1]	Generators of the group modulo torsion
j	104795188976/1875	j-invariant
L	6.52746813809	L(r)(E,1)/r!
Ω	1.0531417617015	Real period
R	1.549522673949	Regulator
r	1	Rank of the group of rational points
S	0.99999999747741	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116160d1 29040m1 116160hi1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160hl1

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	-6	-2	-8	6	0	6	-10	2	-12	6	8	0	-4	12	4	-10	4	-14	2

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Quadratic twists for elliptic curve 116160hl1

-4	8	-11
116160d1	29040m1	116160hi1

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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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