Cremona's table of elliptic curves

4440 = 2³ · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 37-	Signs for the Atkin-Lehner involutions
Class	4440g	Isogeny class
Conductor	4440	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	255744000 = 211 · 33 · 53 · 37	Discriminant
Eigenvalues	2- 3+ 5-  0  0  6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5328000,4735407852]	[a1,a2,a3,a4,a6]
j	8167450100737631904002/124875	j-invariant
L	1.837080641537	L(r)(E,1)/r!
Ω	0.61236021384568	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8880i3 35520u4 13320d3 22200g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4440g4

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	6	2	-8	0	-2	8	-	10	4	4	6	-4	2	-12	-8	2	8	-4	10	-18

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Quadratic twists for elliptic curve 4440g4

-4	8	-3	5
8880i3	35520u4	13320d3	22200g4

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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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