Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232q |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-110111647629312 = -1 · 215 · 39 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38475,2948346] |
[a1,a2,a3,a4,a6] |
j |
-78128296875/1365784 |
j-invariant |
L |
2.3775623244659 |
L(r)(E,1)/r! |
Ω |
0.59439058111612 |
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 |
3654p2 116928ct2 29232s1 |
Quadratic twists by: -4 8 -3 |