Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725k |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1152761328125 = 58 · 112 · 293 |
Discriminant |
Eigenvalues |
0 2 5+ -1 11- 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-139883,20183668] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1087:1] |
Generators of the group modulo torsion |
j |
160109180256256/609725 |
j-invariant |
L |
7.0890500902329 |
L(r)(E,1)/r! |
Ω |
0.76167374525021 |
Real period |
R |
0.77560002161178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545m2 87725a2 |
Quadratic twists by: 5 -11 |