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	14448u	Isogeny class
Conductor	14448	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	86400	Modular degree for the optimal curve
Δ	5754596327424 = 215 · 35 · 75 · 43	Discriminant
Eigenvalues	2- 3+ -3 7-  0  7 -5  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-234472,43778416]	[a1,a2,a3,a4,a6]
Generators	[276:112:1]	Generators of the group modulo torsion
j	348047549263412713/1404930744	j-invariant
L	3.4423894335261	L(r)(E,1)/r!
Ω	0.66739143844706	Real period
R	0.25789883082229	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	1806d1 57792dh1 43344bq1 101136cn1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448u1

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	-	0	7	-5	3	-1	-4	1	-1	5	+	-2	-13	-1	-8	5	2	-6	14	4	2	-14

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Quadratic twists for elliptic curve 14448u1

-4	8	-3	-7
1806d1	57792dh1	43344bq1	101136cn1

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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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