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	5440m	Isogeny class
Conductor	5440	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-133633600 = -1 · 26 · 52 · 174	Discriminant
Eigenvalues	2+  2 5- -2  0 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-480,4250]	[a1,a2,a3,a4,a6]
Generators	[106:51:8]	Generators of the group modulo torsion
j	-191501383744/2088025	j-invariant
L	5.3224128139372	L(r)(E,1)/r!
Ω	1.85467814419	Real period
R	1.434861577091	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	5440n1 2720f2 48960bn1 27200l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440m1

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	0	-2	-	0	2	-6	-8	-10	-2	-2	-6	-2	8	-2	2	8	2	-4	6	-6	10

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Quadratic twists for elliptic curve 5440m1

-4	8	-3	5	17
5440n1	2720f2	48960bn1	27200l1	92480v1

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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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