Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122247h |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1718723622452268753 = 38 · 179 · 472 |
Discriminant |
Eigenvalues |
-1 3- 0 0 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2355260,1390411878] |
[a1,a2,a3,a4,a6] |
j |
82114348569625/97675353 |
j-invariant |
L |
0.52920116419965 |
L(r)(E,1)/r! |
Ω |
0.26460011549041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40749g1 7191d1 |
Quadratic twists by: -3 17 |