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	11154s	Isogeny class
Conductor	11154	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	74880	Modular degree for the optimal curve
Δ	-36585013820880096 = -1 · 25 · 34 · 113 · 139	Discriminant
Eigenvalues	2+ 3-  1  1 11+ 13- -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-93968,14400830]	[a1,a2,a3,a4,a6]
Generators	[-324:3457:1]	Generators of the group modulo torsion
j	-8653002877/3449952	j-invariant
L	4.4132416158095	L(r)(E,1)/r!
Ω	0.34340935662039	Real period
R	1.606407022235	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	89232bt1 33462dh1 122694dj1 11154bj1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154s1

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 11154s1

-4	-3	-11	13
89232bt1	33462dh1	122694dj1	11154bj1

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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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