Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467i |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-95090870973483 = -1 · 36 · 78 · 113 · 17 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1059870,419978718] |
[a1,a2,a3,a4,a6] |
Generators |
[512:3397:1] |
Generators of the group modulo torsion |
j |
-31330668544000/22627 |
j-invariant |
L |
4.2352293196881 |
L(r)(E,1)/r! |
Ω |
0.49846217394642 |
Real period |
R |
4.2482955970774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004523 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9163a2 82467ba2 |
Quadratic twists by: -3 -7 |