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	11154g	Isogeny class
Conductor	11154	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	74880	Modular degree for the optimal curve
Δ	-3152981960346504 = -1 · 23 · 3 · 115 · 138	Discriminant
Eigenvalues	2+ 3+ -1  3 11- 13+  5 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,20277,-2453979]	[a1,a2,a3,a4,a6]
j	1130197991/3865224	j-invariant
L	1.1437699332318	L(r)(E,1)/r!
Ω	0.22875398664635	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	89232bx1 33462cf1 122694cl1 11154v1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154g1

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	3	-	+	5	-2	-4	6	-4	-6	-5	-10	-3	-1	12	14	12	16	12	16	-9	-8	-7

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Quadratic twists for elliptic curve 11154g1

-4	-3	-11	13
89232bx1	33462cf1	122694cl1	11154v1

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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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