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	116160de	Isogeny class
Conductor	116160	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-148684800 = -1 · 214 · 3 · 52 · 112	Discriminant
Eigenvalues	2+ 3- 5+ -1 11-  2  2  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,59,-541]	[a1,a2,a3,a4,a6]
Generators	[498:2285:27]	Generators of the group modulo torsion
j	11264/75	j-invariant
L	8.3937386934466	L(r)(E,1)/r!
Ω	0.91305482783211	Real period
R	4.5965140248914	Regulator
r	1	Rank of the group of rational points
S	1.0000000059802	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	116160fh1 14520j1 116160db1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160de1

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
+	-	+	-1	-	2	2	7	6	-8	-3	-1	-6	0	-4	-10	-4	11	5	6	1	-1	12	10	3

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Quadratic twists for elliptic curve 116160de1

-4	8	-11
116160fh1	14520j1	116160db1

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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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