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	10890r	Isogeny class
Conductor	10890	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	24973336903680 = 221 · 39 · 5 · 112	Discriminant
Eigenvalues	2+ 3- 5+ -5 11- -5 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-475470,-126073260]	[a1,a2,a3,a4,a6]
Generators	[-3186:1647:8]	Generators of the group modulo torsion
j	134766108430924201/283115520	j-invariant
L	2.1382938399564	L(r)(E,1)/r!
Ω	0.18181042690505	Real period
R	2.9402794388042	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	87120ex2 3630z2 54450gl2 10890bv2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890r2

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
+	-	+	-5	-	-5	-3	1	6	9	-4	5	0	-8	6	-6	6	-14	-10	-3	16	10	3	12	-4

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Quadratic twists for elliptic curve 10890r2

-4	-3	5	-11
87120ex2	3630z2	54450gl2	10890bv2

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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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