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	5544k	Isogeny class
Conductor	5544	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-23863892976 = -1 · 24 · 33 · 73 · 115	Discriminant
Eigenvalues	2- 3+ -3 7+ 11- -3  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13359,594351]	[a1,a2,a3,a4,a6]
Generators	[69:-33:1]	Generators of the group modulo torsion
j	-610325920583424/55240493	j-invariant
L	3.074597998081	L(r)(E,1)/r!
Ω	1.146219473597	Real period
R	0.13411907880227	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	11088g1 44352b1 5544a1 38808by1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544k1

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 5544k1

-4	8	-3	-7	-11
11088g1	44352b1	5544a1	38808by1	60984l1

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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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