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	5440f	Isogeny class
Conductor	5440	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	24960	Modular degree for the optimal curve
Δ	-5815734272000 = -1 · 215 · 53 · 175	Discriminant
Eigenvalues	2+  3 5-  2 -4  1 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-21772,1241936]	[a1,a2,a3,a4,a6]
j	-34831225434312/177482125	j-invariant
L	4.5740507133278	L(r)(E,1)/r!
Ω	0.76234178555464	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	5440g1 2720d1 48960cf1 27200bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440f1

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
+	3	-	2	-4	1	+	-7	6	7	1	8	10	-2	-3	3	5	-7	14	-3	15	8	0	-1	5

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Quadratic twists for elliptic curve 5440f1

-4	8	-3	5	17
5440g1	2720d1	48960cf1	27200bb1	92480bi1

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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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