Cremona's table of elliptic curves

14448 = 2⁴ · 3 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 43-	Signs for the Atkin-Lehner involutions
Class	14448bd	Isogeny class
Conductor	14448	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-4854528 = -1 · 28 · 32 · 72 · 43	Discriminant
Eigenvalues	2- 3-  0 7- -3  1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2133,37215]	[a1,a2,a3,a4,a6]
Generators	[27:6:1]	Generators of the group modulo torsion
j	-4194304000000/18963	j-invariant
L	5.8226849146675	L(r)(E,1)/r!
Ω	2.1482465966974	Real period
R	0.33880450012227	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	3612a1 57792cg1 43344bt1 101136bj1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448bd1

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	-	-3	1	-3	2	-3	-2	-7	10	5	-	8	5	0	-8	-3	2	2	0	7	10	-7

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Quadratic twists for elliptic curve 14448bd1

-4	8	-3	-7
3612a1	57792cg1	43344bt1	101136bj1

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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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