Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960d |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
10 |
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 |
2.7136351369041 |
L(r)(E,1)/r! |
Ω |
0.067840908119854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960y1 16120h1 |
Quadratic twists by: -4 8 |