Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400bs |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
82837504000000 = 226 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 -2 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13900,-454000] |
[a1,a2,a3,a4,a6] |
j |
72511713/20224 |
j-invariant |
L |
0.89791170262911 |
L(r)(E,1)/r! |
Ω |
0.4489559744101 |
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 |
126400ba1 31600k1 5056p1 |
Quadratic twists by: -4 8 5 |