Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384i |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1200755621312 = -1 · 26 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169,-52728] |
[a1,a2,a3,a4,a6] |
j |
-1728/3887 |
j-invariant |
L |
3.1338083975685 |
L(r)(E,1)/r! |
Ω |
0.39172604039014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124384n1 9568b1 |
Quadratic twists by: -4 13 |