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	4446v	Isogeny class
Conductor	4446	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-28081184976 = -1 · 24 · 39 · 13 · 193	Discriminant
Eigenvalues	2- 3- -3 -1  0 13-  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,76,8039]	[a1,a2,a3,a4,a6]
Generators	[27:-185:1]	Generators of the group modulo torsion
j	67419143/38520144	j-invariant
L	4.5541533744698	L(r)(E,1)/r!
Ω	0.92112647527715	Real period
R	0.20600470803514	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	35568cc1 1482f1 111150bb1 57798n1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446v1

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
-	-	-3	-1	0	-	6	-	-9	-6	2	11	6	-4	-12	-3	-3	5	-10	-9	-4	-1	6	-6	-7

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Quadratic twists for elliptic curve 4446v1

-4	-3	5	13	-19
35568cc1	1482f1	111150bb1	57798n1	84474r1

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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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