Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dl |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
43875122024509776 = 24 · 39 · 78 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2773091,-1776715181] |
[a1,a2,a3,a4,a6] |
j |
20784535191819/386672 |
j-invariant |
L |
8.423478388062 |
L(r)(E,1)/r! |
Ω |
0.11699276935625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126a1 126126ec2 |
Quadratic twists by: -3 -7 |