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	54450cu	Isogeny class
Conductor	54450	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	1419264	Modular degree for the optimal curve
Δ	-825093056034720000 = -1 · 28 · 37 · 54 · 119	Discriminant
Eigenvalues	2+ 3- 5-  5 11+  6  1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-218367,-58703859]	[a1,a2,a3,a4,a6]
Generators	[1059:-30477:1]	Generators of the group modulo torsion
j	-1071875/768	j-invariant
L	5.9985724667025	L(r)(E,1)/r!
Ω	0.10705504395226	Real period
R	1.1673458354499	Regulator
r	1	Rank of the group of rational points
S	1.0000000000112	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18150de1 54450ff1 54450go1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 54450cu1

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
+	-	-	5	+	6	1	-1	-9	6	-6	-3	-9	-4	1	-2	-13	-6	-14	-9	-2	13	10	6	-5

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Quadratic twists for elliptic curve 54450cu1

-3	5	-11
18150de1	54450ff1	54450go1

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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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