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	11154c	Isogeny class
Conductor	11154	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	235872	Modular degree for the optimal curve
Δ	3433597354817342856 = 23 · 33 · 117 · 138	Discriminant
Eigenvalues	2+ 3+ -1 -2 11+ 13+  5  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-737688,226682136]	[a1,a2,a3,a4,a6]
Generators	[-14559:591403:27]	Generators of the group modulo torsion
j	54424690756969/4209228936	j-invariant
L	2.277682277153	L(r)(E,1)/r!
Ω	0.24508131487092	Real period
R	9.2935778411037	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	89232cl1 33462cs1 122694ck1 11154z1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 11154c1

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	-2	+	+	5	5	-8	-2	3	10	-2	-4	2	-1	-1	-11	2	0	8	-4	6	2	5

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Quadratic twists for elliptic curve 11154c1

-4	-3	-11	13
89232cl1	33462cs1	122694ck1	11154z1

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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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