Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890y |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
6750761367556800000 = 29 · 39 · 55 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5584959,-5077234035] |
[a1,a2,a3,a4,a6] |
j |
123286270205329/43200000 |
j-invariant |
L |
1.9641908433607 |
L(r)(E,1)/r! |
Ω |
0.098209542168036 |
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 |
87120fq1 3630v1 54450fi1 10890ca1 |
Quadratic twists by: -4 -3 5 -11 |