Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
32445k |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
34154138521125 = 36 · 53 · 73 · 1033 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93288,10963368] |
[a1,a2,a3,a4,a6] |
j |
123161091984326656/46850670125 |
j-invariant |
L |
1.2853729648146 |
L(r)(E,1)/r! |
Ω |
0.6426864824091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3605c2 |
Quadratic twists by: -3 |