Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800m |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1656288000000 = 211 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -2 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16275,796750] |
[a1,a2,a3,a4,a6] |
j |
20436626/71 |
j-invariant |
L |
1.6912647066234 |
L(r)(E,1)/r! |
Ω |
0.84563205752233 |
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 |
14200f1 5112c1 |
Quadratic twists by: -3 5 |