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	11154h	Isogeny class
Conductor	11154	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	318569394 = 2 · 3 · 11 · 136	Discriminant
Eigenvalues	2+ 3+ -2  4 11- 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-59491,-5609885]	[a1,a2,a3,a4,a6]
j	4824238966273/66	j-invariant
L	1.2227728254729	L(r)(E,1)/r!
Ω	0.30569320636822	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89232cd4 33462ci4 122694cq4 66b3	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154h3

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	-	+	2	-4	4	6	0	-6	6	4	12	2	-12	-14	-4	12	6	-4	-4	-10	14

---

Quadratic twists for elliptic curve 11154h3

-4	-3	-11	13
89232cd4	33462ci4	122694cq4	66b3

---

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