Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175i |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
2439013306640625 = 38 · 59 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1003709255,-12239145637378] |
[a1,a2,a3,a4,a6] |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
0.96560626152239 |
L(r)(E,1)/r! |
Ω |
0.026822396153337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725f1 6435f1 |
Quadratic twists by: -3 5 |