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	14448f	Isogeny class
Conductor	14448	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	21120	Modular degree for the optimal curve
Δ	39962474496 = 211 · 33 · 75 · 43	Discriminant
Eigenvalues	2+ 3+  3 7-  6 -5 -3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-904,4432]	[a1,a2,a3,a4,a6]
Generators	[-6:98:1]	Generators of the group modulo torsion
j	39937362194/19512927	j-invariant
L	5.3162688088613	L(r)(E,1)/r!
Ω	1.0203891760122	Real period
R	0.52100403785521	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	7224c1 57792cy1 43344o1 101136u1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448f1

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	-	6	-5	-3	-3	-9	10	-9	3	-9	-	2	9	7	2	-9	-14	-14	-4	-4	8	-16

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Quadratic twists for elliptic curve 14448f1

-4	8	-3	-7
7224c1	57792cy1	43344o1	101136u1

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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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