Cremona's table of elliptic curves

11109 = 3 · 7 · 23²

Field	Data	Notes
Atkin-Lehner	3- 7+ 23-	Signs for the Atkin-Lehner involutions
Class	11109c	Isogeny class
Conductor	11109	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	8448	Modular degree for the optimal curve
Δ	-191666276487 = -1 · 38 · 74 · 233	Discriminant
Eigenvalues	1 3-  0 7+  0 -2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,529,-20491]	[a1,a2,a3,a4,a6]
Generators	[69:553:1]	Generators of the group modulo torsion
j	1349232625/15752961	j-invariant
L	6.2220995608371	L(r)(E,1)/r!
Ω	0.49548884189077	Real period
R	1.5696871036222	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	33327i1 77763e1 11109g1	Quadratic twists by: -3 -7 -23

Hecke Eigenvalues for elliptic curve 11109c1

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	-	0	+	0	-2	0	8	-	2	0	0	-6	-8	8	-8	4	-8	8	8	6	8	-16	-16	-8

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Quadratic twists for elliptic curve 11109c1

-3	-7	-23
33327i1	77763e1	11109g1

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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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