Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bu |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
200473981992960000 = 217 · 3 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233973120,-1377439315968] |
[a1,a2,a3,a4,a6] |
Generators |
[141029424714261589497480482:-334270546095123141594890627750:25103234387449346653] |
Generators of the group modulo torsion |
j |
71647584155243142409/10140000 |
j-invariant |
L |
6.2465820957174 |
L(r)(E,1)/r! |
Ω |
0.038601845034302 |
Real period |
R |
40.455204214788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070w4 121680dy4 3120o3 |
Quadratic twists by: -4 -3 13 |