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	5440s	Isogeny class
Conductor	5440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7398400000000 = -1 · 216 · 58 · 172	Discriminant
Eigenvalues	2-  2 5+ -2 -2 -2 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14081,661025]	[a1,a2,a3,a4,a6]
Generators	[16:663:1]	Generators of the group modulo torsion
j	-4711672753924/112890625	j-invariant
L	4.7389616568518	L(r)(E,1)/r!
Ω	0.74227729015188	Real period
R	3.1921774515573	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	5440d2 1360c2 48960fg2 27200cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440s2

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	-2	-2	-	8	6	2	-6	2	-6	-8	-8	-6	0	10	12	-6	-14	-2	-8	-10	2

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Quadratic twists for elliptic curve 5440s2

-4	8	-3	5	17
5440d2	1360c2	48960fg2	27200cd2	92480ed2

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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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