Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700q |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1536458003308800 = -1 · 28 · 317 · 52 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11775,-1948970] |
[a1,a2,a3,a4,a6] |
j |
-38698930000/329316273 |
j-invariant |
L |
1.6097403592174 |
L(r)(E,1)/r! |
Ω |
0.20121751296014 |
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 |
42900w1 128700ce1 |
Quadratic twists by: -3 5 |