Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192r |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
3739780492252112 = 24 · 73 · 119 · 172 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144635,-21014666] |
[a1,a2,a3,a4,a6] |
j |
8869369856/99127 |
j-invariant |
L |
0.48995343679373 |
L(r)(E,1)/r! |
Ω |
0.24497641005353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115192j1 |
Quadratic twists by: -11 |