Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bd |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
14065920 |
Modular degree for the optimal curve |
Δ |
3.512479453921E+23 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 2 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21448380,25474917247] |
[a1,a2,a3,a4,a6] |
j |
19882608489/6400000 |
j-invariant |
L |
11.680850108941 |
L(r)(E,1)/r! |
Ω |
0.088491288716254 |
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 |
13690c1 68450k1 |
Quadratic twists by: 5 37 |