Atkin-Lehner |
2- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344ba |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
73144549376 = 214 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 0 -1 2 -2 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2588,-48976] |
[a1,a2,a3,a4,a6] |
Generators |
[100:832:1] |
Generators of the group modulo torsion |
j |
117002889936/4464389 |
j-invariant |
L |
5.5928407086887 |
L(r)(E,1)/r! |
Ω |
0.6709307157267 |
Real period |
R |
4.1679719073421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999264149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344j1 32336a1 |
Quadratic twists by: -4 8 |