Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10695d |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57652734375 = 32 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1189,10637] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1291:8] |
Generators of the group modulo torsion |
j |
185671013688649/57652734375 |
j-invariant |
L |
6.2857205950773 |
L(r)(E,1)/r! |
Ω |
1.0311629499555 |
Real period |
R |
3.0478793847997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32085e2 53475a2 |
Quadratic twists by: -3 5 |