Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9522p |
Isogeny class |
Conductor |
9522 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-2541688576883712 = -1 · 210 · 36 · 237 |
Discriminant |
Eigenvalues |
2- 3- 4 4 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48503,-4761521] |
[a1,a2,a3,a4,a6] |
j |
-116930169/23552 |
j-invariant |
L |
6.3650804199703 |
L(r)(E,1)/r! |
Ω |
0.15912701049926 |
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 |
76176cl1 1058a1 414d1 |
Quadratic twists by: -4 -3 -23 |