Atkin-Lehner |
2- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128744k |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-46750029099636016 = -1 · 24 · 72 · 1112 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-375019,-88880196] |
[a1,a2,a3,a4,a6] |
j |
-205782571927552/1649323291 |
j-invariant |
L |
3.4709709650949 |
L(r)(E,1)/r! |
Ω |
0.096415830622192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704a1 |
Quadratic twists by: -11 |