Cremona's table of elliptic curves

14832 = 2⁴ · 3² · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103+	Signs for the Atkin-Lehner involutions
Class	14832f	Isogeny class
Conductor	14832	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-16608043008 = -1 · 213 · 39 · 103	Discriminant
Eigenvalues	2- 3-  0  4 -3  2  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2955,62138]	[a1,a2,a3,a4,a6]
Generators	[31:18:1]	Generators of the group modulo torsion
j	-955671625/5562	j-invariant
L	5.6037984547233	L(r)(E,1)/r!
Ω	1.242291288078	Real period
R	1.127714270498	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	1854h1 59328bd1 4944b1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14832f1

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
-	-	0	4	-3	2	6	1	-9	-9	1	5	0	-2	-6	12	-12	8	-14	-12	-16	-2	12	-3	-1

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Quadratic twists for elliptic curve 14832f1

-4	8	-3
1854h1	59328bd1	4944b1

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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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