Atkin-Lehner |
2- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600n |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9389273300000000 = 28 · 58 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165575,-25509750] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:14:1] [-235:650:1] |
Generators of the group modulo torsion |
j |
125501238590544/2347318325 |
j-invariant |
L |
11.393949280782 |
L(r)(E,1)/r! |
Ω |
0.236943123723 |
Real period |
R |
12.021818892283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23320a2 |
Quadratic twists by: 5 |