Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472ds |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
8.3889820206986E+20 |
Discriminant |
Eigenvalues |
2- -1 0 7- 4 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3570113,2191939681] |
[a1,a2,a3,a4,a6] |
j |
2751936625/458752 |
j-invariant |
L |
0.90790886597793 |
L(r)(E,1)/r! |
Ω |
0.15131818477184 |
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 |
129472s1 32368bj1 129472bz1 |
Quadratic twists by: -4 8 17 |