Atkin-Lehner |
2- 3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63954y |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
191293345590336 = 26 · 37 · 114 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49604,4212263] |
[a1,a2,a3,a4,a6] |
j |
18515612033840377/262405137984 |
j-invariant |
L |
6.8204016532529 |
L(r)(E,1)/r! |
Ω |
0.56836680471993 |
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 |
21318j1 |
Quadratic twists by: -3 |