Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400fl |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-32472576000 = -1 · 212 · 37 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100560,-12274000] |
[a1,a2,a3,a4,a6] |
j |
-301302001664/87 |
j-invariant |
L |
1.0723911035053 |
L(r)(E,1)/r! |
Ω |
0.13404889407084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6525l1 34800co1 104400fq1 |
Quadratic twists by: -4 -3 5 |