Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705b |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.269354935465E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1267271,87107204] |
[a1,a2,a3,a4,a6] |
j |
9324782168714641/5258835036225 |
j-invariant |
L |
0.63959795750044 |
L(r)(E,1)/r! |
Ω |
0.15989944789255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865g3 |
Quadratic twists by: 17 |