Atkin-Lehner |
2+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31160b |
Isogeny class |
Conductor |
31160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4903200 |
Modular degree for the optimal curve |
Δ |
-1.4233573643921E+23 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -5 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-193736467,-1038081807474] |
[a1,a2,a3,a4,a6] |
j |
-392670148540972856545416402/69499871308207684375 |
j-invariant |
L |
0.10116542443443 |
L(r)(E,1)/r! |
Ω |
0.020233084887171 |
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 |
62320h1 |
Quadratic twists by: -4 |