Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112br |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
13016405901312 = 222 · 38 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11235,-424222] |
[a1,a2,a3,a4,a6] |
j |
52523718625/4359168 |
j-invariant |
L |
3.7293438995781 |
L(r)(E,1)/r! |
Ω |
0.46616798906022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8514c1 22704bb1 |
Quadratic twists by: -4 -3 |