Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344j |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
6 |
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 |
[16:108:1] [48:188:1] |
Generators of the group modulo torsion |
j |
117002889936/4464389 |
j-invariant |
L |
10.659462831267 |
L(r)(E,1)/r! |
Ω |
1.0832726139064 |
Real period |
R |
1.6400092793044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344ba1 16168e1 |
Quadratic twists by: -4 8 |