Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700s |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
208989173250000 = 24 · 312 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120000,-15984875] |
[a1,a2,a3,a4,a6] |
j |
1048576000000/1146717 |
j-invariant |
L |
4.1044288425247 |
L(r)(E,1)/r! |
Ω |
0.25652680932278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900x1 5148f1 |
Quadratic twists by: -3 5 |