Cremona's table of elliptic curves

1440 = 2⁵ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	1440l	Isogeny class
Conductor	1440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	44789760 = 212 · 37 · 5	Discriminant
Eigenvalues	2- 3- 5-  0 -4  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-732,-7616]	[a1,a2,a3,a4,a6]
j	14526784/15	j-invariant
L	1.8358141128925	L(r)(E,1)/r!
Ω	0.91790705644623	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1440k3 2880y1 480c3 7200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440l2

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	2	8	-4	6	0	2	6	4	12	6	-12	14	-12	0	2	-8	4	-2	-14

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Quadratic twists for elliptic curve 1440l2

-4	8	-3	5	-7
1440k3	2880y1	480c3	7200h2	70560dm4

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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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