Cremona's table of elliptic curves

11280 = 2⁴ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 47+	Signs for the Atkin-Lehner involutions
Class	11280z	Isogeny class
Conductor	11280	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-3170465376768000 = -1 · 212 · 33 · 53 · 475	Discriminant
Eigenvalues	2- 3- 5-  5 -6  3 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1920,-2709900]	[a1,a2,a3,a4,a6]
j	-191202526081/774039398625	j-invariant
L	3.6650420519752	L(r)(E,1)/r!
Ω	0.20361344733195	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	705b1 45120bu1 33840cb1 56400bx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280z1

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
-	-	-	5	-6	3	-3	1	5	-7	0	0	-5	6	+	5	9	-7	8	3	-10	10	8	14	12

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Quadratic twists for elliptic curve 11280z1

-4	8	-3	5
705b1	45120bu1	33840cb1	56400bx1

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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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