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	5544x	Isogeny class
Conductor	5544	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	280663502468557824 = 210 · 36 · 710 · 113	Discriminant
Eigenvalues	2- 3- -2 7- 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-205131,-25081450]	[a1,a2,a3,a4,a6]
Generators	[-197:2772:1]	Generators of the group modulo torsion
j	1278763167594532/375974556419	j-invariant
L	3.5845894440375	L(r)(E,1)/r!
Ω	0.22939834518273	Real period
R	0.52086825084145	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11088m2 44352bz2 616b2 38808ck2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544x2

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	-	-	0	-4	4	4	-2	-2	-6	-4	-4	-2	-2	6	4	0	12	16	-8	12	-10	-2

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Quadratic twists for elliptic curve 5544x2

-4	8	-3	-7	-11
11088m2	44352bz2	616b2	38808ck2	60984v2

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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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