Atkin-Lehner |
2+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650j |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
4.5829062656E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1422242,566144916] |
[a1,a2,a3,a4,a6] |
Generators |
[683325:5109841:729] |
Generators of the group modulo torsion |
j |
162897471635881221/23464480079872 |
j-invariant |
L |
3.671230779044 |
L(r)(E,1)/r! |
Ω |
0.19385718826759 |
Real period |
R |
9.468905465544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26650s1 |
Quadratic twists by: 5 |