Atkin-Lehner |
2- 3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29928i |
Isogeny class |
Conductor |
29928 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
8619264 = 28 · 33 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -1 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,611] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
1326109696/33669 |
j-invariant |
L |
6.5864357768098 |
L(r)(E,1)/r! |
Ω |
2.3149744610134 |
Real period |
R |
0.47419067234738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59856b1 89784e1 |
Quadratic twists by: -4 -3 |