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	10890a	Isogeny class
Conductor	10890	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	16766766720000 = 210 · 39 · 54 · 113	Discriminant
Eigenvalues	2+ 3+ 5+ -2 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-7035,-111259]	[a1,a2,a3,a4,a6]
Generators	[-47:361:1]	Generators of the group modulo torsion
j	1469878353/640000	j-invariant
L	2.6696557059108	L(r)(E,1)/r!
Ω	0.54244029474347	Real period
R	1.2303914973598	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	87120cr1 10890bg1 54450dv1 10890bc1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890a1

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

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Quadratic twists for elliptic curve 10890a1

-4	-3	5	-11
87120cr1	10890bg1	54450dv1	10890bc1

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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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