Atkin-Lehner |
5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12155b |
Isogeny class |
Conductor |
12155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1123288691494255 = -1 · 5 · 115 · 136 · 172 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11+ 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4326,1609151] |
[a1,a2,a3,a4,a6] |
j |
8956277938772711/1123288691494255 |
j-invariant |
L |
0.37593914255372 |
L(r)(E,1)/r! |
Ω |
0.37593914255372 |
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 |
109395y1 60775b1 |
Quadratic twists by: -3 5 |