Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462u |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
518581214144136 = 23 · 39 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39285,-2779763] |
[a1,a2,a3,a4,a6] |
j |
54424690756969/4209228936 |
j-invariant |
L |
0.68154459663994 |
L(r)(E,1)/r! |
Ω |
0.34077229832395 |
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 |
11154z1 33462cs1 |
Quadratic twists by: -3 13 |