Cremona's table of elliptic curves

4732 = 2² · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 7- 13+	Signs for the Atkin-Lehner involutions
Class	4732d	Isogeny class
Conductor	4732	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	-5089966336 = -1 · 28 · 76 · 132	Discriminant
Eigenvalues	2-  0  1 7-  2 13+ -3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2327,43342]	[a1,a2,a3,a4,a6]
Generators	[27:14:1]	Generators of the group modulo torsion
j	-32209663824/117649	j-invariant
L	4.026027669885	L(r)(E,1)/r!
Ω	1.3697032188576	Real period
R	0.16329683744851	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	18928i1 75712x1 42588t1 118300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4732d1

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	1	-	2	+	-3	6	-4	-7	-4	-9	-9	10	2	9	-14	-5	8	-10	7	2	6	-6	-2

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Quadratic twists for elliptic curve 4732d1

-4	8	-3	5	-7	13
18928i1	75712x1	42588t1	118300a1	33124g1	4732a1

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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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