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	11154l	Isogeny class
Conductor	11154	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-136431801792 = -1 · 26 · 36 · 113 · 133	Discriminant
Eigenvalues	2+ 3+  0  0 11- 13-  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-575,18309]	[a1,a2,a3,a4,a6]
Generators	[-7:152:1]	Generators of the group modulo torsion
j	-9595703125/62099136	j-invariant
L	2.8267914225308	L(r)(E,1)/r!
Ω	0.89324413112331	Real period
R	0.52743912592257	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	89232cg1 33462cr1 122694cu1 11154y1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154l1

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 11154l1

-4	-3	-11	13
89232cg1	33462cr1	122694cu1	11154y1

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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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