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	14448h	Isogeny class
Conductor	14448	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	172032336 = 24 · 36 · 73 · 43	Discriminant
Eigenvalues	2+ 3-  2 7+  0 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4907,130680]	[a1,a2,a3,a4,a6]
Generators	[76:450:1]	Generators of the group modulo torsion
j	816846411532288/10752021	j-invariant
L	6.2487014850005	L(r)(E,1)/r!
Ω	1.6473510246682	Real period
R	2.5287876886102	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	7224a1 57792bz1 43344g1 101136f1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448h1

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	+	0	-6	0	4	-8	4	8	-10	12	-	-6	-2	-10	-2	4	6	2	-16	-18	2	14

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Quadratic twists for elliptic curve 14448h1

-4	8	-3	-7
7224a1	57792bz1	43344g1	101136f1

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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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