Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bv |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
11746522382400 = 26 · 32 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7830,207000] |
[a1,a2,a3,a4,a6] |
j |
171879616/38025 |
j-invariant |
L |
5.3968421429877 |
L(r)(E,1)/r! |
Ω |
0.6746052663894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bj1 6240m1 |
Quadratic twists by: -4 13 |