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	14448p	Isogeny class
Conductor	14448	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1176286347264 = 214 · 3 · 7 · 434	Discriminant
Eigenvalues	2- 3+ -2 7+  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7784,261744]	[a1,a2,a3,a4,a6]
Generators	[82:410:1]	Generators of the group modulo torsion
j	12735853007977/287179284	j-invariant
L	3.1323307059521	L(r)(E,1)/r!
Ω	0.86535771371327	Real period
R	3.619694672289	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	1806f3 57792cq3 43344be3 101136cy3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448p4

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

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Quadratic twists for elliptic curve 14448p4

-4	8	-3	-7
1806f3	57792cq3	43344be3	101136cy3

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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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