Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640bn |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7224196377600 = -1 · 210 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14501,689301] |
[a1,a2,a3,a4,a6] |
j |
-329342336352256/7054879275 |
j-invariant |
L |
1.4891413088872 |
L(r)(E,1)/r! |
Ω |
0.74457065479044 |
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 |
56640z1 14160bb1 |
Quadratic twists by: -4 8 |