Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hm |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5440436305920 = 217 · 34 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7425,-221697] |
[a1,a2,a3,a4,a6] |
j |
345431270018/41507235 |
j-invariant |
L |
4.1467837994713 |
L(r)(E,1)/r! |
Ω |
0.51834797623292 |
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 |
73920bz3 18480d3 |
Quadratic twists by: -4 8 |