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	10890t	Isogeny class
Conductor	10890	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-742545606036960000 = -1 · 28 · 320 · 54 · 113	Discriminant
Eigenvalues	2+ 3- 5- -2 11+ -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,22401,-41444595]	[a1,a2,a3,a4,a6]
Generators	[366:3777:1]	Generators of the group modulo torsion
j	1281177907381/765275040000	j-invariant
L	3.2747099848561	L(r)(E,1)/r!
Ω	0.13304945447233	Real period
R	1.5382954771609	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	87120fc2 3630t2 54450fa2 10890bx2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890t2

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

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Quadratic twists for elliptic curve 10890t2

-4	-3	5	-11
87120fc2	3630t2	54450fa2	10890bx2

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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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