Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232g |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-252868025253888 = -1 · 217 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15327,-233055] |
[a1,a2,a3,a4,a6] |
j |
1714750/1089 |
j-invariant |
L |
1.2713979765297 |
L(r)(E,1)/r! |
Ω |
0.31784949413243 |
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 |
23232dl2 2904g2 69696bl2 2112a2 |
Quadratic twists by: -4 8 -3 -11 |