Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135b |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
201295125 = 36 · 53 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -3 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6156,-188472] |
[a1,a2,a3,a4,a6] |
j |
11679607249441/91125 |
j-invariant |
L |
1.0779651818634 |
L(r)(E,1)/r! |
Ω |
0.53898259092885 |
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 |
99405p1 33135f1 |
Quadratic twists by: -3 -47 |