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	4440c	Isogeny class
Conductor	4440	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-1278720 = -1 · 28 · 33 · 5 · 37	Discriminant
Eigenvalues	2+ 3- 5- -2  0 -3  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,15,-45]	[a1,a2,a3,a4,a6]
Generators	[3:6:1]	Generators of the group modulo torsion
j	1362944/4995	j-invariant
L	4.3929752928493	L(r)(E,1)/r!
Ω	1.3833445469286	Real period
R	0.26463492064713	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8880b1 35520g1 13320k1 22200n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4440c1

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	0	-3	2	2	-6	-7	-6	+	0	-1	1	-3	-1	6	0	-12	6	-16	3	15	2

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Quadratic twists for elliptic curve 4440c1

-4	8	-3	5
8880b1	35520g1	13320k1	22200n1

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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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