Atkin-Lehner |
5+ 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127925b |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
18545760 |
Modular degree for the optimal curve |
Δ |
5.8406758613754E+23 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -2 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56866576,-160913959827] |
[a1,a2,a3,a4,a6] |
j |
2082547408879937399425/59808520820484317 |
j-invariant |
L |
0.49566615871301 |
L(r)(E,1)/r! |
Ω |
0.055074127090188 |
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 |
127925m1 |
Quadratic twists by: 5 |