Cremona's table of elliptic curves

14792 = 2³ · 43²

Field	Data	Notes
Atkin-Lehner	2- 43-	Signs for the Atkin-Lehner involutions
Class	14792g	Isogeny class
Conductor	14792	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	473344 = 28 · 432	Discriminant
Eigenvalues	2-  1  1 -5  0  3  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-100,352]	[a1,a2,a3,a4,a6]
Generators	[6:2:1]	Generators of the group modulo torsion
j	235984	j-invariant
L	5.056726222487	L(r)(E,1)/r!
Ω	2.9701688686138	Real period
R	0.42562615512558	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	29584f1 118336o1 14792a1	Quadratic twists by: -4 8 -43

Hecke Eigenvalues for elliptic curve 14792g1

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 14792g1

-4	8	-43
29584f1	118336o1	14792a1

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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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