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	10890bm	Isogeny class
Conductor	10890	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	142560	Modular degree for the optimal curve
Δ	-110012407471296000 = -1 · 29 · 36 · 53 · 119	Discriminant
Eigenvalues	2- 3- 5+  3 11+  0 -3  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-212378,40965081]	[a1,a2,a3,a4,a6]
Generators	[333:2495:1]	Generators of the group modulo torsion
j	-616295051/64000	j-invariant
L	7.0684117103267	L(r)(E,1)/r!
Ω	0.32532328370279	Real period
R	1.2070748056919	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	87120dw1 1210d1 54450bk1 10890k1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890bm1

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	+	0	-3	3	0	-9	-5	-11	-6	-12	-6	3	-12	15	4	3	-6	12	-12	-9	-10

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Quadratic twists for elliptic curve 10890bm1

-4	-3	5	-11
87120dw1	1210d1	54450bk1	10890k1

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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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