Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725a |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2042187011214453125 = 58 · 118 · 293 |
Discriminant |
Eigenvalues |
0 2 5+ 1 11- -5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16925883,-26796758957] |
[a1,a2,a3,a4,a6] |
j |
160109180256256/609725 |
j-invariant |
L |
2.6795651538753 |
L(r)(E,1)/r! |
Ω |
0.074432364956611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545j2 87725k2 |
Quadratic twists by: 5 -11 |