Atkin-Lehner |
2- 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448bn |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1905487773696 = -1 · 218 · 36 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 5 0 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,693,66042] |
[a1,a2,a3,a4,a6] |
j |
12326391/638144 |
j-invariant |
L |
5.059401386393 |
L(r)(E,1)/r! |
Ω |
0.6324251170329 |
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 |
13806j1 12272i1 |
Quadratic twists by: -4 -3 |