Cremona's table of elliptic curves

4392 = 2³ · 3² · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 61-	Signs for the Atkin-Lehner involutions
Class	4392d	Isogeny class
Conductor	4392	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-217798500824064 = -1 · 210 · 320 · 61	Discriminant
Eigenvalues	2- 3- -1 -3  5 -1 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,14757,-167546]	[a1,a2,a3,a4,a6]
j	476091534236/291761109	j-invariant
L	1.298179306998	L(r)(E,1)/r!
Ω	0.32454482674949	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8784b1 35136l1 1464b1 109800t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4392d1

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	-3	5	-1	-2	-4	3	0	-4	8	5	-4	2	12	-5	-	7	0	-7	15	6	-4	-10

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Quadratic twists for elliptic curve 4392d1

-4	8	-3	5
8784b1	35136l1	1464b1	109800t1

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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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