Atkin-Lehner |
2+ 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416f |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36224 |
Modular degree for the optimal curve |
Δ |
-133184256 = -1 · 28 · 3 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -3 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1105,13787] |
[a1,a2,a3,a4,a6] |
j |
-583396135936/520251 |
j-invariant |
L |
3.6713600305529 |
L(r)(E,1)/r! |
Ω |
1.8356800151296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41208e1 |
Quadratic twists by: -4 |