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	240	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-5556659751675648 = -1 · 28 · 36 · 75 · 116	Discriminant
Eigenvalues	2- 3- -2 7- 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,34449,-2608846]	[a1,a2,a3,a4,a6]
Generators	[89:1078:1]	Generators of the group modulo torsion
j	24226243449392/29774625727	j-invariant
L	3.5845894440375	L(r)(E,1)/r!
Ω	0.22939834518273	Real period
R	0.26043412542072	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	11088m1 44352bz1 616b1 38808ck1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544x1

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 5544x1

-4	8	-3	-7	-11
11088m1	44352bz1	616b1	38808ck1	60984v1

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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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