Cremona's table of elliptic curves

11154 = 2 · 3 · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	11154be	Isogeny class
Conductor	11154	Conductor
∏ cp	312	Product of Tamagawa factors cp
Δ	-5.7715863318416E+23	Discriminant
Eigenvalues	2- 3- -3  1 11+ 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-13641937,41376798761]	[a1,a2,a3,a4,a6]
Generators	[-3574:212699:1]	Generators of the group modulo torsion
j	-58169016237585194137/119573538788081664	j-invariant
L	6.9510193565334	L(r)(E,1)/r!
Ω	0.081790698566812	Real period
R	0.27238926411441	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	89232bq2 33462bi2 122694bl2 858d2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154be2

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
-	-	-3	1	+	+	0	-2	3	-3	-8	-2	9	5	0	-6	3	-1	-11	6	1	2	-18	0	-2

---

Quadratic twists for elliptic curve 11154be2

-4	-3	-11	13
89232bq2	33462bi2	122694bl2	858d2

---

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