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	116160et	Isogeny class
Conductor	116160	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	491520	Modular degree for the optimal curve
Δ	76531435200 = 26 · 33 · 52 · 116	Discriminant
Eigenvalues	2+ 3- 5-  4 11-  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-108940,-13876150]	[a1,a2,a3,a4,a6]
j	1261112198464/675	j-invariant
L	6.306866316087	L(r)(E,1)/r!
Ω	0.26278610246495	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116160cl1 58080f4 960h1	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160et1

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

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Quadratic twists for elliptic curve 116160et1

-4	8	-11
116160cl1	58080f4	960h1

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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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