Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dy |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.4842605013176E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131621763,581029925762] |
[a1,a2,a3,a4,a6] |
Generators |
[29229299:-3830222592:1331] |
Generators of the group modulo torsion |
j |
17496824387403529/6580454400 |
j-invariant |
L |
8.331897245793 |
L(r)(E,1)/r! |
Ω |
0.10494412105623 |
Real period |
R |
9.9242067035563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15210o2 40560bu2 9360bz2 |
Quadratic twists by: -4 -3 13 |