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	11154f	Isogeny class
Conductor	11154	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	193536	Modular degree for the optimal curve
Δ	-32976427930288128 = -1 · 216 · 36 · 11 · 137	Discriminant
Eigenvalues	2+ 3+ -4  0 11+ 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-388872,-93908160]	[a1,a2,a3,a4,a6]
Generators	[37683:7295337:1]	Generators of the group modulo torsion
j	-1347365318848849/6831931392	j-invariant
L	1.7007339840031	L(r)(E,1)/r!
Ω	0.095562178041405	Real period
R	8.8985727348441	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89232ct1 33462dd1 122694ct1 858i1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154f1

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
+	+	-4	0	+	+	0	0	-8	0	2	-2	2	2	-8	6	8	10	-2	-4	10	-14	-4	0	10

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Quadratic twists for elliptic curve 11154f1

-4	-3	-11	13
89232ct1	33462dd1	122694ct1	858i1

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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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