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	5544g	Isogeny class
Conductor	5544	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2125569964041216 = 210 · 310 · 74 · 114	Discriminant
Eigenvalues	2+ 3-  2 7+ 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-33339,754630]	[a1,a2,a3,a4,a6]
Generators	[-105:1760:1]	Generators of the group modulo torsion
j	5489767279588/2847396321	j-invariant
L	4.3220491823469	L(r)(E,1)/r!
Ω	0.40818580811724	Real period
R	2.6471089246601	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11088v3 44352y4 1848j3 38808bg4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544g3

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
+	-	2	+	-	-2	-2	4	0	-6	-8	-10	6	-12	8	10	-12	-2	-4	0	-6	0	12	-10	-14

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Quadratic twists for elliptic curve 5544g3

-4	8	-3	-7	-11
11088v3	44352y4	1848j3	38808bg4	60984cg4

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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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