Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205d |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7973347348752E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20801294723,-1154733349581044] |
[a1,a2,a3,a4,a6] |
j |
8000051600110940079507/144453125 |
j-invariant |
L |
0.90512682650538 |
L(r)(E,1)/r! |
Ω |
0.012571206572052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205h2 1935c2 |
Quadratic twists by: -3 -43 |