Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232bh |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-428721739149312 = -1 · 212 · 36 · 7 · 295 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309648,-66328400] |
[a1,a2,a3,a4,a6] |
j |
-1099616058781696/143578043 |
j-invariant |
L |
4.5536704860042 |
L(r)(E,1)/r! |
Ω |
0.10119267746678 |
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 |
1827e2 116928do2 3248g2 |
Quadratic twists by: -4 8 -3 |