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	116160cb	Isogeny class
Conductor	116160	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-52369542730137600 = -1 · 214 · 38 · 52 · 117	Discriminant
Eigenvalues	2+ 3+ 5-  2 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-36945,-11332143]	[a1,a2,a3,a4,a6]
Generators	[408529:3300700:1331]	Generators of the group modulo torsion
j	-192143824/1804275	j-invariant
L	5.6841047551673	L(r)(E,1)/r!
Ω	0.15036480425747	Real period
R	9.4505239154012	Regulator
r	1	Rank of the group of rational points
S	1.000000007123	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116160ji2 14520q2 10560m2	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160cb2

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

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Quadratic twists for elliptic curve 116160cb2

-4	8	-11
116160ji2	14520q2	10560m2

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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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