Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344c |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10530563489792 = 216 · 434 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6476,125936] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1904:1] |
Generators of the group modulo torsion |
j |
458315243172/160683647 |
j-invariant |
L |
4.6434430702353 |
L(r)(E,1)/r! |
Ω |
0.66255144820542 |
Real period |
R |
3.5042131632566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129344be4 16168c3 |
Quadratic twists by: -4 8 |