Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ij |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
349706649600 = 218 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8225,282975] |
[a1,a2,a3,a4,a6] |
j |
234770924809/1334025 |
j-invariant |
L |
3.8546794053162 |
L(r)(E,1)/r! |
Ω |
0.96366985211701 |
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 |
73920x2 18480bt2 |
Quadratic twists by: -4 8 |