Atkin-Lehner |
5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25175g |
Isogeny class |
Conductor |
25175 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
50160 |
Modular degree for the optimal curve |
Δ |
82020779375 = 54 · 195 · 53 |
Discriminant |
Eigenvalues |
1 -2 5- 4 0 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18076,-936777] |
[a1,a2,a3,a4,a6] |
j |
1044999673815625/131233247 |
j-invariant |
L |
2.0587334770696 |
L(r)(E,1)/r! |
Ω |
0.41174669541394 |
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 |
25175c1 |
Quadratic twists by: 5 |