Cremona's table of elliptic curves

11110 = 2 · 5 · 11 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 101+	Signs for the Atkin-Lehner involutions
Class	11110i	Isogeny class
Conductor	11110	Conductor
∏ cp	46	Product of Tamagawa factors cp
deg	88320	Modular degree for the optimal curve
Δ	-569482925834240 = -1 · 223 · 5 · 113 · 1012	Discriminant
Eigenvalues	2- -3 5-  1 11+ -4  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-25992,-1973301]	[a1,a2,a3,a4,a6]
Generators	[269:3097:1]	Generators of the group modulo torsion
j	-1941901255697022801/569482925834240	j-invariant
L	4.4420457154969	L(r)(E,1)/r!
Ω	0.1851989381438	Real period
R	0.52141881683723	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	88880v1 99990i1 55550d1 122210i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11110i1

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
-	-3	-	1	+	-4	3	-1	-6	-1	7	5	-2	2	2	-1	-12	1	12	-11	10	-16	-6	-9	-8

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Quadratic twists for elliptic curve 11110i1

-4	-3	5	-11
88880v1	99990i1	55550d1	122210i1

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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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