Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bb |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-328933518284800000 = -1 · 214 · 55 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-246323,54548978] |
[a1,a2,a3,a4,a6] |
j |
-303180038976339/60335112500 |
j-invariant |
L |
1.1681706665993 |
L(r)(E,1)/r! |
Ω |
0.29204246298128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730a1 125840bc1 |
Quadratic twists by: -4 -11 |