Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520ba |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
145574602997760000 = 226 · 38 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1382576,624992340] |
[a1,a2,a3,a4,a6] |
j |
71356102305927901489/35540674560000 |
j-invariant |
L |
2.5726575683197 |
L(r)(E,1)/r! |
Ω |
0.32158219603996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
690g2 22080cg2 16560br2 27600bg2 |
Quadratic twists by: -4 8 -3 5 |