Atkin-Lehner |
2+ 5+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
95450c |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
-95450000000 = -1 · 27 · 58 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -4 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-14875] |
[a1,a2,a3,a4,a6] |
j |
-117649/6108800 |
j-invariant |
L |
0.97533568384739 |
L(r)(E,1)/r! |
Ω |
0.48766768949891 |
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 |
19090h1 |
Quadratic twists by: 5 |