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
deg	524160	Modular degree for the optimal curve
Δ	-498768472445607936 = -1 · 213 · 36 · 113 · 137	Discriminant
Eigenvalues	2- 3- -3  1 11+ 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-17573722,28354475876]	[a1,a2,a3,a4,a6]
Generators	[2432:-2230:1]	Generators of the group modulo torsion
j	-124352595912593543977/103332962304	j-invariant
L	6.9510193565334	L(r)(E,1)/r!
Ω	0.24537209570043	Real period
R	0.09079642137147	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	89232bq1 33462bi1 122694bl1 858d1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154be1

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

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Quadratic twists for elliptic curve 11154be1

-4	-3	-11	13
89232bq1	33462bi1	122694bl1	858d1

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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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