Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112t |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1670908981248 = 212 · 33 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15564,-744768] |
[a1,a2,a3,a4,a6] |
j |
3770193726144/15108769 |
j-invariant |
L |
3.4202978678698 |
L(r)(E,1)/r! |
Ω |
0.42753723007488 |
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 |
86112r2 86112b2 |
Quadratic twists by: -4 -3 |