Atkin-Lehner |
5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825n |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
7083719301953125 = 58 · 137 · 172 |
Discriminant |
Eigenvalues |
0 3 5- 0 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169000,26432656] |
[a1,a2,a3,a4,a6] |
j |
283115520/3757 |
j-invariant |
L |
5.0497756580898 |
L(r)(E,1)/r! |
Ω |
0.420814638336 |
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 |
71825l1 5525h1 |
Quadratic twists by: 5 13 |