Atkin-Lehner |
2- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960y |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
-4.4219981986931E+24 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 2 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22122448,-108812109728] |
[a1,a2,a3,a4,a6] |
j |
-73080804850407726160896/269897350994451171875 |
j-invariant |
L |
1.0201193252282 |
L(r)(E,1)/r! |
Ω |
0.031878719735666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960d1 32240h1 |
Quadratic twists by: -4 8 |