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	5440o	Isogeny class
Conductor	5440	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	111411200 = 218 · 52 · 17	Discriminant
Eigenvalues	2+ -2 5- -2 -2 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-545,-5057]	[a1,a2,a3,a4,a6]
Generators	[-14:5:1]	Generators of the group modulo torsion
j	68417929/425	j-invariant
L	2.5442533870022	L(r)(E,1)/r!
Ω	0.98831764555171	Real period
R	1.2871637972131	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5440x1 85a1 48960bp1 27200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440o1

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

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Quadratic twists for elliptic curve 5440o1

-4	8	-3	5	17
5440x1	85a1	48960bp1	27200i1	92480n1

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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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