Atkin-Lehner |
3- 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205o |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
289952121707600625 = 34 · 54 · 74 · 134 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1062670,-420935725] |
[a1,a2,a3,a4,a6] |
j |
132714690473637451277281/289952121707600625 |
j-invariant |
L |
2.3794519502801 |
L(r)(E,1)/r! |
Ω |
0.14871574689251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
69615o4 116025b4 |
Quadratic twists by: -3 5 |