Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470j |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
8482492900 = 22 · 52 · 77 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,-2719] |
[a1,a2,a3,a4,a6] |
j |
176558481/72100 |
j-invariant |
L |
4.0457861788651 |
L(r)(E,1)/r! |
Ω |
1.0114465447917 |
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 |
7210h1 |
Quadratic twists by: -7 |