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	1440g	Isogeny class
Conductor	1440	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	21257640000 = 26 · 312 · 54	Discriminant
Eigenvalues	2+ 3- 5- -4 -4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2037,-34684]	[a1,a2,a3,a4,a6]
Generators	[-28:20:1]	Generators of the group modulo torsion
j	20034997696/455625	j-invariant
L	2.6753866085641	L(r)(E,1)/r!
Ω	0.71162812954329	Real period
R	1.8797645128792	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1440n1 2880o2 480e1 7200bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440g1

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 1440g1

-4	8	-3	5	-7
1440n1	2880o2	480e1	7200bo1	70560bb1

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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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