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	10890bf	Isogeny class
Conductor	10890	Conductor
∏ cp	50	Product of Tamagawa factors cp
deg	19200	Modular degree for the optimal curve
Δ	548111646720 = 225 · 33 · 5 · 112	Discriminant
Eigenvalues	2- 3+ 5+ -3 11-  3 -1 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7613,-251259]	[a1,a2,a3,a4,a6]
Generators	[-49:72:1]	Generators of the group modulo torsion
j	14934427706187/167772160	j-invariant
L	5.8985424494451	L(r)(E,1)/r!
Ω	0.5114578963065	Real period
R	0.23065603217944	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	87120da1 10890i1 54450m1 10890d1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890bf1

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	-	3	-1	-5	6	-1	0	9	-4	-4	-4	-2	-8	-4	8	5	4	-4	15	-6	-12

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Quadratic twists for elliptic curve 10890bf1

-4	-3	5	-11
87120da1	10890i1	54450m1	10890d1

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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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