Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600i |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
992351250000 = 24 · 38 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2550,-12625] |
[a1,a2,a3,a4,a6] |
j |
10061824/5445 |
j-invariant |
L |
2.8640584429834 |
L(r)(E,1)/r! |
Ω |
0.71601461075235 |
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 |
19800m1 13200i1 7920o1 |
Quadratic twists by: -4 -3 5 |