Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775p |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9442634769140625 = 39 · 58 · 134 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34830792,-79112542509] |
[a1,a2,a3,a4,a6] |
j |
410266648981116910009/828983025 |
j-invariant |
L |
4.474463272673 |
L(r)(E,1)/r! |
Ω |
0.062145361220539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41925i4 25155o4 |
Quadratic twists by: -3 5 |