Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300cn |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
205770000 = 24 · 3 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,-387] |
[a1,a2,a3,a4,a6] |
j |
6400/3 |
j-invariant |
L |
2.8170226153955 |
L(r)(E,1)/r! |
Ω |
1.4085110633525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300b1 108300z1 |
Quadratic twists by: 5 -19 |