Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890bu |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-1420614765900000 = -1 · 25 · 36 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10867,-1762923] |
[a1,a2,a3,a4,a6] |
j |
109902239/1100000 |
j-invariant |
L |
2.366658522786 |
L(r)(E,1)/r! |
Ω |
0.2366658522786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120eo1 1210g1 54450cf1 990d1 |
Quadratic twists by: -4 -3 5 -11 |