Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608z |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3827367936 = 216 · 34 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-432,1620] |
[a1,a2,a3,a4,a6] |
j |
2181825073/934416 |
j-invariant |
L |
5.0403318234512 |
L(r)(E,1)/r! |
Ω |
1.2600829558623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326d1 103824cc1 |
Quadratic twists by: -4 -3 |