Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bm |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
47078461250000 = 24 · 57 · 172 · 194 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9033,-18062] |
[a1,a2,a3,a4,a6] |
j |
326082740224/188313845 |
j-invariant |
L |
1.0695102782878 |
L(r)(E,1)/r! |
Ω |
0.53475422883352 |
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 |
32300h1 25840y1 |
Quadratic twists by: -4 5 |