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	54450bz	Isogeny class
Conductor	54450	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3.8998538976641E+19	Discriminant
Eigenvalues	2+ 3- 5+ -2 11-  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-274020192,-1745841915284]	[a1,a2,a3,a4,a6]
Generators	[-79940843780:39374094418:8365427]	Generators of the group modulo torsion
j	112763292123580561/1932612	j-invariant
L	4.2625641950492	L(r)(E,1)/r!
Ω	0.037106835032062	Real period
R	14.359093787611	Regulator
r	1	Rank of the group of rational points
S	0.99999999998941	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18150ca3 2178m3 4950bf3	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 54450bz3

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
+	-	+	-2	-	4	2	0	-6	10	-8	2	2	4	-2	4	0	8	12	-2	-6	-10	-4	-10	2

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Quadratic twists for elliptic curve 54450bz3

-3	5	-11
18150ca3	2178m3	4950bf3

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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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