Atkin-Lehner |
2+ 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728k |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3979155456 = 211 · 34 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3592,81620] |
[a1,a2,a3,a4,a6] |
j |
2503361934866/1942947 |
j-invariant |
L |
5.5233081917735 |
L(r)(E,1)/r! |
Ω |
1.3808270433494 |
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 |
33864e2 |
Quadratic twists by: -4 |