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	14448i	Isogeny class
Conductor	14448	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-220553690112 = -1 · 210 · 32 · 7 · 434	Discriminant
Eigenvalues	2+ 3-  2 7+  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,728,-21052]	[a1,a2,a3,a4,a6]
Generators	[2602:47145:8]	Generators of the group modulo torsion
j	41612249948/215384463	j-invariant
L	6.6823554761628	L(r)(E,1)/r!
Ω	0.50060241940782	Real period
R	6.6743140035835	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7224h4 57792ca3 43344h3 101136g3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448i4

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
+	-	2	+	4	-2	2	-4	0	-10	-4	-10	10	-	-12	-10	0	-6	12	0	14	0	0	-10	-14

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Quadratic twists for elliptic curve 14448i4

-4	8	-3	-7
7224h4	57792ca3	43344h3	101136g3

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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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