Cremona's table of elliptic curves

5544 = 2³ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	5544a	Isogeny class
Conductor	5544	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-17396777979504 = -1 · 24 · 39 · 73 · 115	Discriminant
Eigenvalues	2+ 3+  3 7+ 11+ -3 -6  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-120231,-16047477]	[a1,a2,a3,a4,a6]
Generators	[228501:4844799:343]	Generators of the group modulo torsion
j	-610325920583424/55240493	j-invariant
L	4.4414396120067	L(r)(E,1)/r!
Ω	0.12819263833509	Real period
R	8.6616510700034	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	11088h1 44352e1 5544k1 38808j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544a1

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
+	+	3	+	+	-3	-6	1	4	-5	-4	5	-2	6	1	2	-7	-14	1	-6	-17	2	-14	6	2

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Quadratic twists for elliptic curve 5544a1

-4	8	-3	-7	-11
11088h1	44352e1	5544k1	38808j1	60984bu1

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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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