Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325k |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-1833203125 = -1 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
1 0 5+ 4 -1 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,208,-1759] |
[a1,a2,a3,a4,a6] |
Generators |
[5152:20649:343] |
Generators of the group modulo torsion |
j |
175959/325 |
j-invariant |
L |
8.5634011729093 |
L(r)(E,1)/r! |
Ω |
0.77721882928937 |
Real period |
R |
5.509002622459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23465c1 117325a1 |
Quadratic twists by: 5 -19 |