Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232x |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7187876563939E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32716428,-34763398164] |
[a1,a2,a3,a4,a6] |
j |
3134160907827154000/1390984039929627 |
j-invariant |
L |
2.104827055744 |
L(r)(E,1)/r! |
Ω |
0.06577584448311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308f2 6864p2 |
Quadratic twists by: -4 13 |