Atkin-Lehner |
2- 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664p |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4326396939072 = 26 · 32 · 133 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4778,-80004] |
[a1,a2,a3,a4,a6] |
j |
188526786904000/67599952173 |
j-invariant |
L |
3.547865582114 |
L(r)(E,1)/r! |
Ω |
0.59131092997244 |
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 |
53664j1 107328bn2 |
Quadratic twists by: -4 8 |