Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126324k |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-9587858201856 = -1 · 28 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4719,194326] |
[a1,a2,a3,a4,a6] |
j |
-35152/29 |
j-invariant |
L |
1.9998775972634 |
L(r)(E,1)/r! |
Ω |
0.66662635063964 |
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 |
14036d1 1044j1 |
Quadratic twists by: -3 -11 |