Cremona's table of elliptic curves

11088 = 2⁴ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	11088o	Isogeny class
Conductor	11088	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-12171430656 = -1 · 28 · 36 · 72 · 113	Discriminant
Eigenvalues	2+ 3-  1 7+ 11-  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12,5308]	[a1,a2,a3,a4,a6]
Generators	[9:77:1]	Generators of the group modulo torsion
j	-1024/65219	j-invariant
L	4.8361217161301	L(r)(E,1)/r!
Ω	1.0112444950045	Real period
R	0.79705777386515	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5544s1 44352dk1 1232a1 77616cd1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088o1

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
+	-	1	+	-	0	2	2	-7	10	-7	-9	2	4	8	-2	-15	-14	-3	3	10	-10	0	11	7

---

Quadratic twists for elliptic curve 11088o1

-4	8	-3	-7	-11
5544s1	44352dk1	1232a1	77616cd1	121968bw1

---

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