Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720bh |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9108082561600000000 = 212 · 58 · 112 · 196 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15718627,23986234146] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
1.7057589896357 |
L(r)(E,1)/r! |
Ω |
0.21321987370447 |
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 |
1045b2 66880ce2 83600bq2 |
Quadratic twists by: -4 8 5 |