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	14448be	Isogeny class
Conductor	14448	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-155345199408 = -1 · 24 · 37 · 74 · 432	Discriminant
Eigenvalues	2- 3-  0 7-  6 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,27,-18954]	[a1,a2,a3,a4,a6]
Generators	[54:378:1]	Generators of the group modulo torsion
j	131072000/9709074963	j-invariant
L	6.2327751738481	L(r)(E,1)/r!
Ω	0.47211385748951	Real period
R	0.94298911087001	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3612b1 57792ch1 43344bu1 101136bm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448be1

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	-	6	-2	-6	-4	-6	4	8	-2	2	-	-10	2	-6	-2	-12	-4	-10	0	-2	16	14

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Quadratic twists for elliptic curve 14448be1

-4	8	-3	-7
3612b1	57792ch1	43344bu1	101136bm1

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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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