Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834bh |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35816796708528 = 24 · 3 · 118 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32612,2245728] |
[a1,a2,a3,a4,a6] |
j |
2165213540953/20217648 |
j-invariant |
L |
5.2385571053806 |
L(r)(E,1)/r! |
Ω |
0.65481963817966 |
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 |
128502ba2 3894d2 |
Quadratic twists by: -3 -11 |