Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700bf |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1143459281250000 = 24 · 39 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106500,13278125] |
[a1,a2,a3,a4,a6] |
j |
5864013824/50193 |
j-invariant |
L |
0.98154881507027 |
L(r)(E,1)/r! |
Ω |
0.49077455751376 |
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 |
42900p1 128700bp1 |
Quadratic twists by: -3 5 |