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	1440n	Isogeny class
Conductor	1440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4958982259200 = -1 · 29 · 318 · 52	Discriminant
Eigenvalues	2- 3- 5-  4  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,213,107134]	[a1,a2,a3,a4,a6]
j	2863288/13286025	j-invariant
L	2.4178902130141	L(r)(E,1)/r!
Ω	0.60447255325353	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	1440g4 2880m4 480d4 7200p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440n4

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
-	-	-	4	4	6	-2	-4	0	-10	4	-10	-2	4	8	-2	12	-10	-12	0	10	4	4	6	-14

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Quadratic twists for elliptic curve 1440n4

-4	8	-3	5	-7
1440g4	2880m4	480d4	7200p4	70560di2

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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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