Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cj |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.045635271849E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57108396,-166096617680] |
[a1,a2,a3,a4,a6] |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
0.87871338287753 |
L(r)(E,1)/r! |
Ω |
0.054919573022523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712dw2 3366m2 35904x2 |
Quadratic twists by: -4 8 -3 |