Cremona's table of elliptic curves

14792 = 2³ · 43²

Field	Data	Notes
Atkin-Lehner	2+ 43+	Signs for the Atkin-Lehner involutions
Class	14792a	Isogeny class
Conductor	14792	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	86688	Modular degree for the optimal curve
Δ	2992179271065856 = 28 · 438	Discriminant
Eigenvalues	2+ -1 -1  5  0  3  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-185516,-30580748]	[a1,a2,a3,a4,a6]
Generators	[-320133:346232:1331]	Generators of the group modulo torsion
j	235984	j-invariant
L	4.4635007568106	L(r)(E,1)/r!
Ω	0.23009900219967	Real period
R	9.6990875973841	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	29584a1 118336b1 14792g1	Quadratic twists by: -4 8 -43

Hecke Eigenvalues for elliptic curve 14792a1

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
+	-1	-1	5	0	3	3	-1	-1	-5	-5	-1	6	+	0	-5	4	-5	11	-15	-13	-11	-9	-1	-10

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Quadratic twists for elliptic curve 14792a1

-4	8	-43
29584a1	118336b1	14792g1

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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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