Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ca |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-81887944158306 = -1 · 2 · 33 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48197,-4083777] |
[a1,a2,a3,a4,a6] |
Generators |
[56760403216185866:-2550417721721272071:28378206866008] |
Generators of the group modulo torsion |
j |
-3326427/22 |
j-invariant |
L |
8.9424800881135 |
L(r)(E,1)/r! |
Ω |
0.16104366316424 |
Real period |
R |
27.764147661598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462f1 33462e1 |
Quadratic twists by: -3 13 |