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	116160hr	Isogeny class
Conductor	116160	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	491520	Modular degree for the optimal curve
Δ	-3273096420633600 = -1 · 210 · 38 · 52 · 117	Discriminant
Eigenvalues	2- 3- 5+  0 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,31299,-1731501]	[a1,a2,a3,a4,a6]
Generators	[54:345:1] [95:1452:1]	Generators of the group modulo torsion
j	1869154304/1804275	j-invariant
L	13.451792102931	L(r)(E,1)/r!
Ω	0.24406550468372	Real period
R	1.7223593470095	Regulator
r	2	Rank of the group of rational points
S	0.99999999986202	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116160o1 29040n1 10560ca1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160hr1

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

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Quadratic twists for elliptic curve 116160hr1

-4	8	-11
116160o1	29040n1	10560ca1

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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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