Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dy |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.4614553287287E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2105758083,37192967289218] |
[a1,a2,a3,a4,a6] |
Generators |
[87841:23021856:1] |
Generators of the group modulo torsion |
j |
71647584155243142409/10140000 |
j-invariant |
L |
8.331897245793 |
L(r)(E,1)/r! |
Ω |
0.10494412105623 |
Real period |
R |
4.9621033517781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210o3 40560bu4 9360bz4 |
Quadratic twists by: -4 -3 13 |