Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408de |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
63378432 = 210 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9173,335115] |
[a1,a2,a3,a4,a6] |
j |
83369132032000/61893 |
j-invariant |
L |
3.2641799761673 |
L(r)(E,1)/r! |
Ω |
1.6320899875117 |
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 |
57408d1 14352s1 |
Quadratic twists by: -4 8 |