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	10890m	Isogeny class
Conductor	10890	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	190080	Modular degree for the optimal curve
Δ	-605068241092128000 = -1 · 28 · 36 · 53 · 1110	Discriminant
Eigenvalues	2+ 3- 5+  1 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-661590,210643956]	[a1,a2,a3,a4,a6]
Generators	[1420:45474:1]	Generators of the group modulo torsion
j	-1693700041/32000	j-invariant
L	3.3956017460026	L(r)(E,1)/r!
Ω	0.28982572390508	Real period
R	5.8580061497832	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	87120eh1 1210l1 54450fm1 10890bq1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890m1

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	-	4	0	4	0	-6	-10	8	-3	1	-9	12	-6	-11	-1	6	-8	-14	-12	15	8

---

Quadratic twists for elliptic curve 10890m1

-4	-3	5	-11
87120eh1	1210l1	54450fm1	10890bq1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations