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	10890g	Isogeny class
Conductor	10890	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-5274032318403750 = -1 · 2 · 39 · 54 · 118	Discriminant
Eigenvalues	2+ 3+ 5-  0 11-  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,16131,3399875]	[a1,a2,a3,a4,a6]
Generators	[-41:1654:1]	Generators of the group modulo torsion
j	13312053/151250	j-invariant
L	3.5922562022968	L(r)(E,1)/r!
Ω	0.3169811353618	Real period
R	1.4165891127072	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	87120dg2 10890bd2 54450dx2 990i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890g2

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
+	+	-	0	-	0	-2	-2	6	-2	0	-6	-2	2	-2	2	8	-4	-4	-2	10	-4	-12	0	-18

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Quadratic twists for elliptic curve 10890g2

-4	-3	5	-11
87120dg2	10890bd2	54450dx2	990i2

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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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