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	1440j	Isogeny class
Conductor	1440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	699840000 = 29 · 37 · 54	Discriminant
Eigenvalues	2- 3- 5+  0  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-363,-2338]	[a1,a2,a3,a4,a6]
Generators	[-11:18:1]	Generators of the group modulo torsion
j	14172488/1875	j-invariant
L	2.6354446783673	L(r)(E,1)/r!
Ω	1.1033208990043	Real period
R	0.59716186848849	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	1440c3 2880p3 480b3 7200f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440j2

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

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Quadratic twists for elliptic curve 1440j2

-4	8	-3	5	-7
1440c3	2880p3	480b3	7200f2	70560dv3

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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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