Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825a |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4276800 |
Modular degree for the optimal curve |
Δ |
-49027950675 = -1 · 33 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1846113963,30531252981458] |
[a1,a2,a3,a4,a6] |
Generators |
[459552:54269515:27] |
Generators of the group modulo torsion |
j |
-27832949070669005254114225192960/1961118027 |
j-invariant |
L |
2.9217121946106 |
L(r)(E,1)/r! |
Ω |
0.18697553257192 |
Real period |
R |
7.8130869703146 |
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 |
101475bq1 33825y1 |
Quadratic twists by: -3 5 |