Atkin-Lehner |
2+ 3- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32922b |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-9787448277504 = -1 · 29 · 311 · 31 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -1 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-107145,13526797] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-124:1] |
Generators of the group modulo torsion |
j |
-186601096474719121/13425854976 |
j-invariant |
L |
4.360125509547 |
L(r)(E,1)/r! |
Ω |
0.69074970590267 |
Real period |
R |
1.5780410300173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974g1 |
Quadratic twists by: -3 |