Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bp |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
735727095499968 = 26 · 39 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1558550,-748518299] |
[a1,a2,a3,a4,a6] |
j |
4406910829875/7744 |
j-invariant |
L |
3.242878512608 |
L(r)(E,1)/r! |
Ω |
0.13511993802518 |
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 |
33462k2 198d4 |
Quadratic twists by: -3 13 |