Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232ba |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-13478251579011072 = -1 · 212 · 39 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112899,15632962] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1080:1] |
Generators of the group modulo torsion |
j |
-53297461115137/4513839183 |
j-invariant |
L |
6.5811701046906 |
L(r)(E,1)/r! |
Ω |
0.38927309339247 |
Real period |
R |
2.1132882725519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1827b1 116928dw1 9744q1 |
Quadratic twists by: -4 8 -3 |