Atkin-Lehner |
2- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550q |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1180960000000 = -1 · 211 · 57 · 112 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1838,60292] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:-286:1] [-38:294:1] |
Generators of the group modulo torsion |
j |
-43949604889/75581440 |
j-invariant |
L |
8.6242989425296 |
L(r)(E,1)/r! |
Ω |
0.77486064313457 |
Real period |
R |
0.1264787390385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710b1 |
Quadratic twists by: 5 |