Cremona's table of elliptic curves

4446 = 2 · 3² · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 19+	Signs for the Atkin-Lehner involutions
Class	4446k	Isogeny class
Conductor	4446	Conductor
∏ cp	38	Product of Tamagawa factors cp
deg	404320	Modular degree for the optimal curve
Δ	-4.6981367091116E+21	Discriminant
Eigenvalues	2- 3+  2  5 -3 13+  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2269259,3551133531]	[a1,a2,a3,a4,a6]
j	-47864328251166811289619/174005063300429643776	j-invariant
L	4.5632555273663	L(r)(E,1)/r!
Ω	0.1200856717728	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35568bc1 4446a1 111150h1 57798d1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446k1

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	5	-3	+	0	+	3	8	-2	-8	8	-1	6	2	10	10	5	9	-14	-11	-16	-8	-10

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Quadratic twists for elliptic curve 4446k1

-4	-3	5	13	-19
35568bc1	4446a1	111150h1	57798d1	84474j1

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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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