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	5440l	Isogeny class
Conductor	5440	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-7.5759616E+19	Discriminant
Eigenvalues	2+  2 5-  2 -6 -2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1043935,-82957663]	[a1,a2,a3,a4,a6]
Generators	[38883:1792000:27]	Generators of the group modulo torsion
j	479958568556831351/289000000000000	j-invariant
L	5.5540030812228	L(r)(E,1)/r!
Ω	0.11265283319747	Real period
R	2.0542474475125	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	5440y4 170b4 48960bm4 27200o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440l4

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

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Quadratic twists for elliptic curve 5440l4

-4	8	-3	5	17
5440y4	170b4	48960bm4	27200o4	92480y4

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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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