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	10890w	Isogeny class
Conductor	10890	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	3630409446552768000 = 29 · 37 · 53 · 1110	Discriminant
Eigenvalues	2+ 3- 5-  1 11-  1 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2111049,-1176488307]	[a1,a2,a3,a4,a6]
j	55025549689/192000	j-invariant
L	1.5033058130323	L(r)(E,1)/r!
Ω	0.12527548441936	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	87120fs2 3630u2 54450fk2 10890cb2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890w2

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	-	1	-3	1	-6	3	-4	-1	0	4	-6	-6	6	10	2	15	4	10	3	-12	8

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Quadratic twists for elliptic curve 10890w2

-4	-3	5	-11
87120fs2	3630u2	54450fk2	10890cb2

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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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