Atkin-Lehner |
2- 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656n |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6624000 |
Modular degree for the optimal curve |
Δ |
2.2337834955891E+20 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11+ 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33584298,74919940139] |
[a1,a2,a3,a4,a6] |
j |
261825877003136401745248000/13961146847432111657 |
j-invariant |
L |
3.0087974848165 |
L(r)(E,1)/r! |
Ω |
0.16715551714333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32164e1 |
Quadratic twists by: -4 |