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	5544c	Isogeny class
Conductor	5544	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-33264 = -1 · 24 · 33 · 7 · 11	Discriminant
Eigenvalues	2+ 3+ -1 7- 11- -1  2 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3,-9]	[a1,a2,a3,a4,a6]
Generators	[3:3:1]	Generators of the group modulo torsion
j	-6912/77	j-invariant
L	3.8229553392879	L(r)(E,1)/r!
Ω	1.5687316946112	Real period
R	0.60924301976242	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	11088a1 44352g1 5544l1 38808k1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544c1

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	-	-	-1	2	-1	-4	5	-4	-3	-6	2	9	-2	1	-2	-11	2	-11	-14	-6	14	10

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Quadratic twists for elliptic curve 5544c1

-4	8	-3	-7	-11
11088a1	44352g1	5544l1	38808k1	60984bl1

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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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