Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176q |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-655398690271232 = -1 · 212 · 234 · 833 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 5 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264793,-52548281] |
[a1,a2,a3,a4,a6] |
j |
-501285225055672000/160009445867 |
j-invariant |
L |
0.8418294584409 |
L(r)(E,1)/r! |
Ω |
0.10522876694862 |
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 |
122176i1 61088b1 |
Quadratic twists by: -4 8 |