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	-63275188879360000 = -1 · 222 · 54 · 176	Discriminant
Eigenvalues	2+  2 5-  2 -6 -2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-158305,27149025]	[a1,a2,a3,a4,a6]
Generators	[1065:32640:1]	Generators of the group modulo torsion
j	-1673672305534489/241375690000	j-invariant
L	5.5540030812228	L(r)(E,1)/r!
Ω	0.3379584995924	Real period
R	0.68474914917084	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	5440y2 170b2 48960bm2 27200o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440l2

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 5440l2

-4	8	-3	5	17
5440y2	170b2	48960bm2	27200o2	92480y2

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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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