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	5440a	Isogeny class
Conductor	5440	Conductor
∏ cp	4	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]
Generators	[-7:64:1]	Generators of the group modulo torsion
j	-1771561/17000	j-invariant
L	3.0216365111976	L(r)(E,1)/r!
Ω	1.177016777168	Real period
R	0.64179979627564	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	5440q1 170d1 48960db1 27200v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440a1

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 5440a1

-4	8	-3	5	17
5440q1	170d1	48960db1	27200v1	92480bv1

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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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