Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462da |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
209820171047897124 = 22 · 312 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3915086,-2980612839] |
[a1,a2,a3,a4,a6] |
j |
1886079023633377/59629284 |
j-invariant |
L |
1.7172560031667 |
L(r)(E,1)/r! |
Ω |
0.10732850019848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11154d2 2574j2 |
Quadratic twists by: -3 13 |