Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400d |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.108740234375E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27476008,-53059747988] |
[a1,a2,a3,a4,a6] |
j |
71686050207365805122/3464813232421875 |
j-invariant |
L |
2.1164644609154 |
L(r)(E,1)/r! |
Ω |
0.066139514403607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800be6 52200bp6 3480s5 |
Quadratic twists by: -4 -3 5 |