Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550k |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-134409375000 = -1 · 23 · 36 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 7 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,183,-17659] |
[a1,a2,a3,a4,a6] |
j |
59319/11800 |
j-invariant |
L |
1.9567882323507 |
L(r)(E,1)/r! |
Ω |
0.48919705808762 |
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 |
2950o1 5310l1 |
Quadratic twists by: -3 5 |