Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bt |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
42741145954201266 = 2 · 39 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11+ 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107516,-9202787] |
[a1,a2,a3,a4,a6] |
j |
8560539/2662 |
j-invariant |
L |
6.4816961950427 |
L(r)(E,1)/r! |
Ω |
0.2700706747934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462o1 33462p2 |
Quadratic twists by: -3 13 |