Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300bb |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-133280000 = -1 · 28 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-1050] |
[a1,a2,a3,a4,a6] |
j |
-75600/17 |
j-invariant |
L |
0.64854723357711 |
L(r)(E,1)/r! |
Ω |
0.64854726991329 |
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 |
83300r1 83300y1 |
Quadratic twists by: 5 -7 |