Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825be |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
169125 = 3 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11- -6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-192098,-32470636] |
[a1,a2,a3,a4,a6] |
Generators |
[-18772446:-36919:74088] |
Generators of the group modulo torsion |
j |
6271688643866537984/1353 |
j-invariant |
L |
2.5864649288116 |
L(r)(E,1)/r! |
Ω |
0.22804400279629 |
Real period |
R |
5.6709777435409 |
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 |
101475cd1 33825o1 |
Quadratic twists by: -3 5 |