Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126et |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1375003824129936 = 24 · 36 · 78 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46829,-3456827] |
[a1,a2,a3,a4,a6] |
j |
132417047673/16032016 |
j-invariant |
L |
5.2338411209198 |
L(r)(E,1)/r! |
Ω |
0.32711506277903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14014d2 18018bo2 |
Quadratic twists by: -3 -7 |