Atkin-Lehner |
2- 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
36816m |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-16677089574912 = -1 · 228 · 34 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12032,-540672] |
[a1,a2,a3,a4,a6] |
j |
-47034153084673/4071555072 |
j-invariant |
L |
0.45359755666274 |
L(r)(E,1)/r! |
Ω |
0.22679877831871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602f1 110448bo1 |
Quadratic twists by: -4 -3 |