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	10890bz	Isogeny class
Conductor	10890	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-429735966684750 = -1 · 2 · 36 · 53 · 119	Discriminant
Eigenvalues	2- 3- 5-  1 11- -2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,9778,-927781]	[a1,a2,a3,a4,a6]
Generators	[662:4989:8]	Generators of the group modulo torsion
j	80062991/332750	j-invariant
L	7.3859493880098	L(r)(E,1)/r!
Ω	0.26820968610702	Real period
R	2.2948305531686	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	87120fu2 1210c2 54450bv2 990f2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890bz2

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	-	-2	-3	1	-6	-9	5	5	-6	-8	-6	-9	-6	-5	8	9	10	-14	-6	15	8

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Quadratic twists for elliptic curve 10890bz2

-4	-3	5	-11
87120fu2	1210c2	54450bv2	990f2

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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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