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	14448bg	Isogeny class
Conductor	14448	Conductor
∏ cp	70	Product of Tamagawa factors cp
deg	2298240	Modular degree for the optimal curve
Δ	7.7997319601236E+23	Discriminant
Eigenvalues	2- 3-  3 7- -6  1 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-26629664,-31507384332]	[a1,a2,a3,a4,a6]
Generators	[-1644:88494:1]	Generators of the group modulo torsion
j	509871621645082002682657/190423143557704974336	j-invariant
L	6.9049441737122	L(r)(E,1)/r!
Ω	0.068561302896047	Real period
R	1.4387424896814	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	1806h1 57792cj1 43344bx1 101136bz1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14448bg1

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	1	-3	-1	-3	-2	5	-5	-1	-	-10	11	-9	-14	-9	2	-10	0	4	4	-4

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Quadratic twists for elliptic curve 14448bg1

-4	8	-3	-7
1806h1	57792cj1	43344bx1	101136bz1

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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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