Atkin-Lehner |
3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84825l |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
5087094416015625 = 312 · 59 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2093454567,-36866954128784] |
[a1,a2,a3,a4,a6] |
j |
89077245323151497432103721/446603625 |
j-invariant |
L |
0.80350047275885 |
L(r)(E,1)/r! |
Ω |
0.022319459312932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28275d1 16965i1 |
Quadratic twists by: -3 5 |