Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640z |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
36547197570000 = 24 · 312 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26238,-1609787] |
[a1,a2,a3,a4,a6] |
j |
171264907503616/3133333125 |
j-invariant |
L |
3.0042719367839 |
L(r)(E,1)/r! |
Ω |
0.37553396548924 |
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 |
35880e1 |
Quadratic twists by: -3 |