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	4446h	Isogeny class
Conductor	4446	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	2576100457378188 = 22 · 37 · 138 · 192	Discriminant
Eigenvalues	2+ 3-  2  0 -4 13- -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-213291,37889289]	[a1,a2,a3,a4,a6]
Generators	[33:5541:1]	Generators of the group modulo torsion
j	1472024100054611377/3533745483372	j-invariant
L	3.032568180385	L(r)(E,1)/r!
Ω	0.45751603032621	Real period
R	0.82854150985235	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	35568ch6 1482j5 111150dt6 57798bo6	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446h5

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	-4	-	-2	+	0	-6	8	6	6	-4	8	-14	-12	-2	12	-8	-6	0	-12	6	-14

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Quadratic twists for elliptic curve 4446h5

-4	-3	5	13	-19
35568ch6	1482j5	111150dt6	57798bo6	84474ca6

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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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