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	116160cw	Isogeny class
Conductor	116160	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	2.9863208046434E+23	Discriminant
Eigenvalues	2+ 3- 5+  0 11-  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-82899681,289301115519]	[a1,a2,a3,a4,a6]
Generators	[1779:384000:1]	Generators of the group modulo torsion
j	135670761487282321/643043610000	j-invariant
L	7.9490325601417	L(r)(E,1)/r!
Ω	0.097623375475145	Real period
R	3.3927293252029	Regulator
r	1	Rank of the group of rational points
S	1.0000000036415	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	116160fc3 3630d4 10560q3	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 116160cw3

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	-	6	-2	-4	0	-10	0	-6	-2	4	-8	10	4	-2	4	-8	-2	8	-12	-6	18

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Quadratic twists for elliptic curve 116160cw3

-4	8	-11
116160fc3	3630d4	10560q3

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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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