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	11154o	Isogeny class
Conductor	11154	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	295233334672079232 = 27 · 32 · 11 · 1312	Discriminant
Eigenvalues	2+ 3- -2 -4 11+ 13+ -8  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1245872,-534716674]	[a1,a2,a3,a4,a6]
j	44308125149913793/61165323648	j-invariant
L	0.28582304300074	L(r)(E,1)/r!
Ω	0.14291152150037	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89232bo2 33462cz2 122694dd2 858l2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154o2

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	+	+	-8	6	-6	-2	2	-4	-2	4	-4	-8	-12	-2	-12	16	0	-8	-4	-10	-10

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Quadratic twists for elliptic curve 11154o2

-4	-3	-11	13
89232bo2	33462cz2	122694dd2	858l2

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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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