Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700bk |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7004160 |
Modular degree for the optimal curve |
Δ |
339607406531250000 = 24 · 312 · 59 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46204500,-120885584375] |
[a1,a2,a3,a4,a6] |
j |
478849443293216768/14907321 |
j-invariant |
L |
0.69488031561011 |
L(r)(E,1)/r! |
Ω |
0.057906656105495 |
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 |
42900bo1 128700bt1 |
Quadratic twists by: -3 5 |