Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290l |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2045952 |
Modular degree for the optimal curve |
Δ |
4.5250144334221E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4610584,-3669332160] |
[a1,a2,a3,a4,a6] |
j |
71623315478889/2990080000 |
j-invariant |
L |
0.82635819040353 |
L(r)(E,1)/r! |
Ω |
0.10329477376906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
730a1 |
Quadratic twists by: 73 |