Atkin-Lehner |
3- 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75555d |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
30296059473018825 = 322 · 52 · 232 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-200700,-33528789] |
[a1,a2,a3,a4,a6] |
j |
1226420830935691201/41558380621425 |
j-invariant |
L |
3.6164724578399 |
L(r)(E,1)/r! |
Ω |
0.22602952522722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25185f1 |
Quadratic twists by: -3 |