Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905z |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14313915 = 37 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-942480,352408945] |
[a1,a2,a3,a4,a6] |
j |
127002676039247796481/19635 |
j-invariant |
L |
3.5512451970843 |
L(r)(E,1)/r! |
Ω |
0.88781129793297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635n3 |
Quadratic twists by: -3 |