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	5544m	Isogeny class
Conductor	5544	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-473530636656 = -1 · 24 · 33 · 77 · 113	Discriminant
Eigenvalues	2- 3+  1 7- 11+  3  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,813,31883]	[a1,a2,a3,a4,a6]
Generators	[-11:147:1]	Generators of the group modulo torsion
j	137566156032/1096135733	j-invariant
L	4.3214640849078	L(r)(E,1)/r!
Ω	0.682333003587	Real period
R	0.22619161350993	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	11088e1 44352l1 5544d1 38808bn1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544m1

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	2	-5	-8	7	-8	-3	-10	-10	7	-2	-9	-2	-3	6	1	10	-6	2	-2

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Quadratic twists for elliptic curve 5544m1

-4	8	-3	-7	-11
11088e1	44352l1	5544d1	38808bn1	60984d1

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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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