Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cr |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3373760768400 = 24 · 32 · 52 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11195,446337] |
[a1,a2,a3,a4,a6] |
j |
87587538121/1904400 |
j-invariant |
L |
6.3433041842388 |
L(r)(E,1)/r! |
Ω |
0.79291302313732 |
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 |
690f2 |
Quadratic twists by: -11 |