Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825l |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
375162440078125 = 57 · 710 · 17 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20008,570793] |
[a1,a2,a3,a4,a6] |
j |
200704/85 |
j-invariant |
L |
0.96821120294175 |
L(r)(E,1)/r! |
Ω |
0.48410560147088 |
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 |
4165p1 20825f1 |
Quadratic twists by: 5 -7 |