Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9522m |
Isogeny class |
Conductor |
9522 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-107954798976 = -1 · 27 · 313 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 5 3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4136,-102549] |
[a1,a2,a3,a4,a6] |
j |
-20285403817/279936 |
j-invariant |
L |
4.1639372286024 |
L(r)(E,1)/r! |
Ω |
0.29742408775731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176cg1 3174b1 9522j1 |
Quadratic twists by: -4 -3 -23 |