Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dx |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-1.3438443620895E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3860545,-2973668161] |
[a1,a2,a3,a4,a6] |
j |
-27403349188178/578739249 |
j-invariant |
L |
1.5059908017641 |
L(r)(E,1)/r! |
Ω |
0.053785385777294 |
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 |
23232be2 5808g2 69696hb2 2112z2 |
Quadratic twists by: -4 8 -3 -11 |