Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232ba |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4395448140926976 = 212 · 312 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1841619,961934290] |
[a1,a2,a3,a4,a6] |
Generators |
[-1393:28710:1] |
Generators of the group modulo torsion |
j |
231331938231569617/1472026689 |
j-invariant |
L |
6.5811701046906 |
L(r)(E,1)/r! |
Ω |
0.38927309339247 |
Real period |
R |
4.2265765451038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1827b2 116928dw2 9744q2 |
Quadratic twists by: -4 8 -3 |