Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126324m |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
-1310540367966192 = -1 · 24 · 313 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 3 11- 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54813,5237485] |
[a1,a2,a3,a4,a6] |
j |
-881395456/63423 |
j-invariant |
L |
5.6915984281904 |
L(r)(E,1)/r! |
Ω |
0.47429975969451 |
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 |
42108f1 1044k1 |
Quadratic twists by: -3 -11 |