Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936i |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7151367168 = 210 · 32 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-797,-7917] |
[a1,a2,a3,a4,a6] |
j |
54744881152/6983757 |
j-invariant |
L |
3.6239342417699 |
L(r)(E,1)/r! |
Ω |
0.90598358290497 |
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 |
111936a1 27984a1 |
Quadratic twists by: -4 8 |