Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31164k |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
105636703918032 = 24 · 32 · 712 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13393,329300] |
[a1,a2,a3,a4,a6] |
j |
141150208000/56118573 |
j-invariant |
L |
1.0824204302998 |
L(r)(E,1)/r! |
Ω |
0.54121021515092 |
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 |
124656bx1 93492t1 4452a1 |
Quadratic twists by: -4 -3 -7 |