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	10890ce	Isogeny class
Conductor	10890	Conductor
∏ cp	448	Product of Tamagawa factors cp
Δ	6.7423708615957E+25	Discriminant
Eigenvalues	2- 3- 5- -4 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1996034657,-34321412071119]	[a1,a2,a3,a4,a6]
Generators	[-25809:60404:1]	Generators of the group modulo torsion
j	680995599504466943307169/52207031250000000	j-invariant
L	6.4012536758841	L(r)(E,1)/r!
Ω	0.022587051029535	Real period
R	2.5303901161246	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	87120gh4 3630c3 54450cm4 990g3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10890ce3

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

---

Quadratic twists for elliptic curve 10890ce3

-4	-3	5	-11
87120gh4	3630c3	54450cm4	990g3

---

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