Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200bm |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-46118408000000000 = -1 · 212 · 59 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80033,-13490063] |
[a1,a2,a3,a4,a6] |
j |
-153664/125 |
j-invariant |
L |
1.6460092483729 |
L(r)(E,1)/r! |
Ω |
0.13716743736418 |
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 |
39200bl1 78400fz1 7840a1 39200bt1 |
Quadratic twists by: -4 8 5 -7 |