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	10890n	Isogeny class
Conductor	10890	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	177408	Modular degree for the optimal curve
Δ	659254039800468750 = 2 · 39 · 57 · 118	Discriminant
Eigenvalues	2+ 3- 5+  3 11-  3  1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-422010,-97916450]	[a1,a2,a3,a4,a6]
Generators	[-3386:19117:8]	Generators of the group modulo torsion
j	53189206081/4218750	j-invariant
L	3.5817485911429	L(r)(E,1)/r!
Ω	0.18825563528111	Real period
R	3.1709972327385	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	87120er1 3630r1 54450gb1 10890bt1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890n1

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	-1	-6	-5	0	3	4	-8	2	10	-14	-2	-10	-7	8	10	-9	0	-12

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Quadratic twists for elliptic curve 10890n1

-4	-3	5	-11
87120er1	3630r1	54450gb1	10890bt1

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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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