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	1440a	Isogeny class
Conductor	1440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	251942400 = 29 · 39 · 52	Discriminant
Eigenvalues	2+ 3+ 5+ -2  2  0  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-243,-1242]	[a1,a2,a3,a4,a6]
Generators	[-11:10:1]	Generators of the group modulo torsion
j	157464/25	j-invariant
L	2.5670389333396	L(r)(E,1)/r!
Ω	1.2221590352565	Real period
R	1.0502065849396	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	1440h2 2880h2 1440i2 7200bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440a2

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 1440a2

-4	8	-3	5	-7
1440h2	2880h2	1440i2	7200bb2	70560n2

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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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