Cremona's table of elliptic curves

5440 = 2⁶ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	5440q	Isogeny class
Conductor	5440	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-4456448000 = -1 · 221 · 53 · 17	Discriminant
Eigenvalues	2-  1 5+ -2  0 -5 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-161,-3361]	[a1,a2,a3,a4,a6]
j	-1771561/17000	j-invariant
L	1.1684436316727	L(r)(E,1)/r!
Ω	0.58422181583633	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	5440a1 1360i1 48960fw1 27200cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440q1

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	+	-2	0	-5	+	-1	-6	9	1	4	-6	2	9	9	3	7	14	-3	11	-8	0	-9	-7

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Quadratic twists for elliptic curve 5440q1

-4	8	-3	5	17
5440a1	1360i1	48960fw1	27200cj1	92480dz1

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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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