Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bj |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101606193157819392 = 210 · 313 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20571915,35913700438] |
[a1,a2,a3,a4,a6] |
j |
10963069081334500/1156923 |
j-invariant |
L |
2.0734351265301 |
L(r)(E,1)/r! |
Ω |
0.25917938896655 |
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 |
27048i2 1656d2 |
Quadratic twists by: -3 -7 |