Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040g |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-464833728000000 = -1 · 212 · 311 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 5 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222168,40319408] |
[a1,a2,a3,a4,a6] |
j |
-406144664367616/155671875 |
j-invariant |
L |
4.1366577321688 |
L(r)(E,1)/r! |
Ω |
0.51708221701252 |
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 |
59040h1 118080fg1 19680u1 |
Quadratic twists by: -4 8 -3 |