Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8463c |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1228531326593545611 = -1 · 35 · 7 · 1312 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,180674,44460955] |
[a1,a2,a3,a4,a6] |
j |
652239257945803829783/1228531326593545611 |
j-invariant |
L |
0.37589086871868 |
L(r)(E,1)/r! |
Ω |
0.18794543435934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25389k3 59241y3 110019d3 |
Quadratic twists by: -3 -7 13 |