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	5544t	Isogeny class
Conductor	5544	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2314745690840884224 = 210 · 312 · 74 · 116	Discriminant
Eigenvalues	2- 3- -2 7- 11+ -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5282931,4673123390]	[a1,a2,a3,a4,a6]
j	21843440425782779332/3100814593569	j-invariant
L	0.99961176482081	L(r)(E,1)/r!
Ω	0.2499029412052	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11088p2 44352co2 1848b2 38808ce2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544t2

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

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Quadratic twists for elliptic curve 5544t2

-4	8	-3	-7	-11
11088p2	44352co2	1848b2	38808ce2	60984y2

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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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