Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462o |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1412930444766984 = 23 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-374451,-88082227] |
[a1,a2,a3,a4,a6] |
j |
361635651/88 |
j-invariant |
L |
1.1579994252235 |
L(r)(E,1)/r! |
Ω |
0.19299990420483 |
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 |
33462bt1 33462bu2 |
Quadratic twists by: -3 13 |