Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fl |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-7263027000000 = -1 · 26 · 311 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55542,-5039926] |
[a1,a2,a3,a4,a6] |
j |
-406144664367616/155671875 |
j-invariant |
L |
1.865887173861 |
L(r)(E,1)/r! |
Ω |
0.15549061998608 |
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 |
118080fg1 59040h1 39360bu1 |
Quadratic twists by: -4 8 -3 |