Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25850i |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-32312500 = -1 · 22 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 11+ 3 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,1781] |
[a1,a2,a3,a4,a6] |
j |
-169112377/2068 |
j-invariant |
L |
8.3460937777211 |
L(r)(E,1)/r! |
Ω |
2.0865234444303 |
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 |
1034a1 |
Quadratic twists by: 5 |