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	5440i	Isogeny class
Conductor	5440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-118374400 = -1 · 214 · 52 · 172	Discriminant
Eigenvalues	2+  0 5- -4 -2  6 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-92,624]	[a1,a2,a3,a4,a6]
Generators	[5:17:1]	Generators of the group modulo torsion
j	-5256144/7225	j-invariant
L	3.5688521623748	L(r)(E,1)/r!
Ω	1.6811178957427	Real period
R	1.0614520764464	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	5440w2 340a2 48960bs2 27200b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440i2

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
+	0	-	-4	-2	6	-	0	0	6	6	2	-6	-6	-10	6	0	-10	2	6	6	6	-6	-18	-14

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Quadratic twists for elliptic curve 5440i2

-4	8	-3	5	17
5440w2	340a2	48960bs2	27200b2	92480d2

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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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