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	11154y	Isogeny class
Conductor	11154	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	112320	Modular degree for the optimal curve
Δ	-658530248775841728 = -1 · 26 · 36 · 113 · 139	Discriminant
Eigenvalues	2- 3+  0  0 11+ 13-  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-97263,40711029]	[a1,a2,a3,a4,a6]
Generators	[-329:6266:1]	Generators of the group modulo torsion
j	-9595703125/62099136	j-invariant
L	5.8036570660449	L(r)(E,1)/r!
Ω	0.24774134740557	Real period
R	3.9043792560419	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	89232cu1 33462bn1 122694ba1 11154l1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154y1

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
-	+	0	0	+	-	0	0	0	6	0	-6	6	-8	-6	6	0	-8	-6	6	6	10	12	-6	-12

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Quadratic twists for elliptic curve 11154y1

-4	-3	-11	13
89232cu1	33462bn1	122694ba1	11154l1

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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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