Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175h |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3839132837524E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16340067,25420905216] |
[a1,a2,a3,a4,a6] |
j |
42358217070122052841/12149581640625 |
j-invariant |
L |
0.72014301416128 |
L(r)(E,1)/r! |
Ω |
0.1800357535402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10725i2 6435h2 |
Quadratic twists by: -3 5 |