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	1440i	Isogeny class
Conductor	1440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	345600 = 29 · 33 · 52	Discriminant
Eigenvalues	2- 3+ 5- -2 -2  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27,46]	[a1,a2,a3,a4,a6]
Generators	[-3:10:1]	Generators of the group modulo torsion
j	157464/25	j-invariant
L	2.7501540166479	L(r)(E,1)/r!
Ω	2.9027134635883	Real period
R	0.47372123551737	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	1440b2 2880d2 1440a2 7200b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440i2

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

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Quadratic twists for elliptic curve 1440i2

-4	8	-3	5	-7
1440b2	2880d2	1440a2	7200b2	70560cg2

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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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