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	11154t	Isogeny class
Conductor	11154	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	43680	Modular degree for the optimal curve
Δ	279097371805824 = 27 · 35 · 11 · 138	Discriminant
Eigenvalues	2+ 3-  1 -2 11- 13+ -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-17073,300484]	[a1,a2,a3,a4,a6]
Generators	[14:246:1]	Generators of the group modulo torsion
j	674636521/342144	j-invariant
L	4.0847904658493	L(r)(E,1)/r!
Ω	0.48527813859011	Real period
R	0.56116140978682	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	89232ba1 33462ch1 122694cy1 11154bc1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154t1

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	-2	-	+	-3	-1	4	-10	7	6	6	-12	6	1	-3	3	2	4	4	4	-6	-14	5

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Quadratic twists for elliptic curve 11154t1

-4	-3	-11	13
89232ba1	33462ch1	122694cy1	11154bc1

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

Part of Computational Number Theory
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