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	4440b	Isogeny class
Conductor	4440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	315417600 = 210 · 32 · 52 · 372	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-496,-4004]	[a1,a2,a3,a4,a6]
j	13205172676/308025	j-invariant
L	1.0129154529065	L(r)(E,1)/r!
Ω	1.0129154529065	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8880g2 35520bd2 13320p2 22200q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4440b2

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	-2	-4	0	2	4	-	-6	0	4	6	12	-6	12	-16	2	-12	12	-2	14

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Quadratic twists for elliptic curve 4440b2

-4	8	-3	5
8880g2	35520bd2	13320p2	22200q2

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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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