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	11154bj	Isogeny class
Conductor	11154	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-7579544544 = -1 · 25 · 34 · 113 · 133	Discriminant
Eigenvalues	2- 3- -1 -1 11- 13- -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-556,6512]	[a1,a2,a3,a4,a6]
Generators	[92:812:1]	Generators of the group modulo torsion
j	-8653002877/3449952	j-invariant
L	7.5061091544817	L(r)(E,1)/r!
Ω	1.2381800437689	Real period
R	0.050518428184548	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	89232bg1 33462z1 122694bo1 11154s1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154bj1

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	-1	-	-	-4	0	-1	-1	4	-2	-5	-1	-6	6	11	-1	7	-6	-11	-12	-10	0	6

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Quadratic twists for elliptic curve 11154bj1

-4	-3	-11	13
89232bg1	33462z1	122694bo1	11154s1

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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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