Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744r |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4905268166656 = -1 · 214 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 2 -3 2 11+ 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3688,61424] |
[a1,a2,a3,a4,a6] |
j |
8011835663/7086244 |
j-invariant |
L |
2.0037945850998 |
L(r)(E,1)/r! |
Ω |
0.50094864627499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718k2 118976dm2 29744bd2 |
Quadratic twists by: -4 8 13 |