Atkin-Lehner |
2- 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bp |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-3.9931227133252E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6849562,6693425781] |
[a1,a2,a3,a4,a6] |
j |
48751125505749226592999/54775345861800000000 |
j-invariant |
L |
2.7509295910275 |
L(r)(E,1)/r! |
Ω |
0.076414716288212 |
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 |
29670g1 |
Quadratic twists by: -3 |