Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888w |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6151680 |
Modular degree for the optimal curve |
Δ |
-1.9895601315104E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11544888,16553494384] |
[a1,a2,a3,a4,a6] |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
0.94642888185928 |
L(r)(E,1)/r! |
Ω |
0.11830369035397 |
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 |
129888bm1 14432d1 |
Quadratic twists by: -4 -3 |