Atkin-Lehner |
3- 5+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82305g |
Isogeny class |
Conductor |
82305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1303065832585455 = 314 · 5 · 314 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28755,-704214] |
[a1,a2,a3,a4,a6] |
j |
3606988811384881/1787470277895 |
j-invariant |
L |
1.5431557474951 |
L(r)(E,1)/r! |
Ω |
0.38578894029338 |
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 |
27435g4 |
Quadratic twists by: -3 |