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	10890ca	Isogeny class
Conductor	10890	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	3810628800000 = 29 · 39 · 55 · 112	Discriminant
Eigenvalues	2- 3- 5-  1 11- -5 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-46157,3827189]	[a1,a2,a3,a4,a6]
Generators	[117:76:1]	Generators of the group modulo torsion
j	123286270205329/43200000	j-invariant
L	7.2115240212414	L(r)(E,1)/r!
Ω	0.77055469657041	Real period
R	0.051993742324259	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	87120fw1 3630h1 54450bx1 10890y1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890ca1

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	-	-5	-3	-5	0	-3	2	5	6	-2	6	0	0	-8	2	-9	-14	-14	-3	12	-10

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Quadratic twists for elliptic curve 10890ca1

-4	-3	5	-11
87120fw1	3630h1	54450bx1	10890y1

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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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