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	4446u	Isogeny class
Conductor	4446	Conductor
∏ cp	252	Product of Tamagawa factors cp
Δ	-191453076652032 = -1 · 221 · 37 · 133 · 19	Discriminant
Eigenvalues	2- 3-  0 -1 -3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,11425,468551]	[a1,a2,a3,a4,a6]
Generators	[-33:250:1]	Generators of the group modulo torsion
j	226256177900375/262624247808	j-invariant
L	5.2070731889275	L(r)(E,1)/r!
Ω	0.3780547936006	Real period
R	0.49190462005097	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	35568bx2 1482e2 111150bd2 57798g2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446u2

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	-1	-3	-	-6	-	3	6	2	2	-12	5	-6	-6	-6	-4	-1	-3	-4	-1	-12	-12	2

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Quadratic twists for elliptic curve 4446u2

-4	-3	5	13	-19
35568bx2	1482e2	111150bd2	57798g2	84474n2

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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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