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	11154bh	Isogeny class
Conductor	11154	Conductor
∏ cp	11	Product of Tamagawa factors cp
deg	20064	Modular degree for the optimal curve
Δ	111308900274 = 2 · 311 · 11 · 134	Discriminant
Eigenvalues	2- 3-  1  2 11- 13+  7 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5665,-163801]	[a1,a2,a3,a4,a6]
j	703971110401/3897234	j-invariant
L	6.0553134253505	L(r)(E,1)/r!
Ω	0.55048303866823	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	89232bc1 33462v1 122694bf1 11154n1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154bh1

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	-	+	7	-7	8	6	3	2	10	-4	-6	1	1	1	-14	4	-16	-8	2	6	-3

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Quadratic twists for elliptic curve 11154bh1

-4	-3	-11	13
89232bc1	33462v1	122694bf1	11154n1

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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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