Atkin-Lehner |
3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775u |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
180192290712890625 = 310 · 510 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-726417,-237243384] |
[a1,a2,a3,a4,a6] |
Generators |
[14435088:821791023:4096] |
Generators of the group modulo torsion |
j |
3721641121835209/15819350625 |
j-invariant |
L |
7.1082208478684 |
L(r)(E,1)/r! |
Ω |
0.1635739298929 |
Real period |
R |
10.863926764058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096234 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41925k2 25155m2 |
Quadratic twists by: -3 5 |