Cremona's table of elliptic curves

54450 = 2 · 3² · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	54450dd	Isogeny class
Conductor	54450	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	384384	Modular degree for the optimal curve
Δ	-9454191267064500 = -1 · 22 · 36 · 53 · 1110	Discriminant
Eigenvalues	2+ 3- 5- -1 11-  6 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,41178,-3407464]	[a1,a2,a3,a4,a6]
j	3267/4	j-invariant
L	0.87806277864477	L(r)(E,1)/r!
Ω	0.21951569478548	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	6050bq1 54450gw1 54450gv1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 54450dd1

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	-	6	-4	-2	-8	6	-2	4	-11	1	9	-10	-6	-5	-5	10	-4	-8	-12	-5	-2

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Quadratic twists for elliptic curve 54450dd1

-3	5	-11
6050bq1	54450gw1	54450gv1

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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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