Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ce |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-685095855468750000 = -1 · 24 · 32 · 512 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1890181,-1000400300] |
[a1,a2,a3,a4,a6] |
Generators |
[316568622424068:13439044722812500:119168121961] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
4.4606973153052 |
L(r)(E,1)/r! |
Ω |
0.064375379515836 |
Real period |
R |
17.322994244282 |
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 |
7260n3 116160jd3 87120fy3 2640o3 |
Quadratic twists by: -4 8 -3 -11 |