Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462bn |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-4.8006855135759E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-875367,-1100073155] |
[a1,a2,a3,a4,a6] |
j |
-9595703125/62099136 |
j-invariant |
L |
0.83446565723496 |
L(r)(E,1)/r! |
Ω |
0.069538804769778 |
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 |
11154y1 33462cr1 |
Quadratic twists by: -3 13 |