Atkin-Lehner |
3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467m |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-247331355402029283 = -1 · 38 · 78 · 113 · 173 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-257250,55629369] |
[a1,a2,a3,a4,a6] |
j |
-448000000000/58852827 |
j-invariant |
L |
1.8142722559578 |
L(r)(E,1)/r! |
Ω |
0.30237870747433 |
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 |
27489l2 82467x2 |
Quadratic twists by: -3 -7 |