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	5544y	Isogeny class
Conductor	5544	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-158070528 = -1 · 28 · 36 · 7 · 112	Discriminant
Eigenvalues	2- 3- -2 7- 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-111,754]	[a1,a2,a3,a4,a6]
Generators	[5:18:1]	Generators of the group modulo torsion
j	-810448/847	j-invariant
L	3.6457563000009	L(r)(E,1)/r!
Ω	1.655922440026	Real period
R	0.55041169379039	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	11088n1 44352ca1 616c1 38808cm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544y1

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

---

Quadratic twists for elliptic curve 5544y1

-4	8	-3	-7	-11
11088n1	44352ca1	616c1	38808cm1	60984w1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations