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	-141135917657720832 = -1 · 211 · 38 · 72 · 118	Discriminant
Eigenvalues	2+ 3-  2 7+ 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,125421,5866702]	[a1,a2,a3,a4,a6]
Generators	[86:4158:1]	Generators of the group modulo torsion
j	146142660369886/94532266521	j-invariant
L	4.3220491823469	L(r)(E,1)/r!
Ω	0.20409290405862	Real period
R	1.32355446233	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	11088v6 44352y5 1848j6 38808bg5	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5544g6

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

---

Quadratic twists for elliptic curve 5544g6

-4	8	-3	-7	-11
11088v6	44352y5	1848j6	38808bg5	60984cg5

---

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