Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406y |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-442135343586373632 = -1 · 212 · 33 · 1310 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-566022493,-5183255301199] |
[a1,a2,a3,a4,a6] |
j |
-145475968977975351625/3207168 |
j-invariant |
L |
5.0142518886932 |
L(r)(E,1)/r! |
Ω |
0.015476086076213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218n2 29406g2 |
Quadratic twists by: -3 13 |