Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dw |
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] |
Generators |
[-22:409088:1] [3818:60928:1] |
Generators of the group modulo torsion |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
10.131131523765 |
L(r)(E,1)/r! |
Ω |
0.14094342571989 |
Real period |
R |
17.970209454148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712cj2 26928bt2 35904bx2 |
Quadratic twists by: -4 8 -3 |