Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bn |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.1184998820393E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42872321,-107941633745] |
[a1,a2,a3,a4,a6] |
j |
18084500649301589056/23210674146275 |
j-invariant |
L |
1.1800998860351 |
L(r)(E,1)/r! |
Ω |
0.059004994740487 |
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 |
86240bc2 12320h2 |
Quadratic twists by: -4 -7 |