Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344g |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8452766987264 = 210 · 433 · 473 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 0 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6037,116181] |
[a1,a2,a3,a4,a6] |
Generators |
[3099:25928:27] |
Generators of the group modulo torsion |
j |
23766171123712/8254655261 |
j-invariant |
L |
8.6505732839289 |
L(r)(E,1)/r! |
Ω |
0.67526363149277 |
Real period |
R |
6.4053303497373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344bh2 8084b2 |
Quadratic twists by: -4 8 |