Cremona's table of elliptic curves

10890 = 2 · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	10890bo	Isogeny class
Conductor	10890	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	8.3047022498513E+20	Discriminant
Eigenvalues	2- 3- 5+  0 11- -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-11657768,-15254656293]	[a1,a2,a3,a4,a6]
j	135670761487282321/643043610000	j-invariant
L	2.6152882497227	L(r)(E,1)/r!
Ω	0.081727757803836	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	87120ed3 3630d4 54450bp3 990c4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890bo3

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	-	-6	2	4	0	-10	0	6	2	-4	8	10	4	2	-4	8	-2	8	-12	6	18

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Quadratic twists for elliptic curve 10890bo3

-4	-3	5	-11
87120ed3	3630d4	54450bp3	990c4

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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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