Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dr |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-179593767936 = -1 · 210 · 32 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1291,-9429] |
[a1,a2,a3,a4,a6] |
j |
131072/99 |
j-invariant |
L |
1.132662558522 |
L(r)(E,1)/r! |
Ω |
0.56633127926094 |
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 |
23232t1 5808s1 69696gj1 2112bc1 |
Quadratic twists by: -4 8 -3 -11 |