Cremona's table of elliptic curves

14240 = 2⁵ · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 5+ 89-	Signs for the Atkin-Lehner involutions
Class	14240m	Isogeny class
Conductor	14240	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	18240	Modular degree for the optimal curve
Δ	-1127950400000 = -1 · 29 · 55 · 893	Discriminant
Eigenvalues	2- -1 5+ -4 -5  0 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,2584,6616]	[a1,a2,a3,a4,a6]
Generators	[33:356:1]	Generators of the group modulo torsion
j	3725316686008/2203028125	j-invariant
L	2.0364550682786	L(r)(E,1)/r!
Ω	0.5294024630578	Real period
R	1.2822349789838	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14240e1 28480u1 128160p1 71200g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14240m1

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
-	-1	+	-4	-5	0	-4	-2	0	-2	8	2	8	5	-7	5	0	5	0	6	4	-16	1	-	16

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Quadratic twists for elliptic curve 14240m1

-4	8	-3	5
14240e1	28480u1	128160p1	71200g1

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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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