Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408by |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
235143168 = 218 · 3 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217,16737] |
[a1,a2,a3,a4,a6] |
j |
761048497/897 |
j-invariant |
L |
1.7560602803966 |
L(r)(E,1)/r! |
Ω |
1.7560602772176 |
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 |
57408bh1 14352be1 |
Quadratic twists by: -4 8 |