Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005n |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
214205266665 = 314 · 5 · 132 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8154,284575] |
[a1,a2,a3,a4,a6] |
j |
82250446539169/293834385 |
j-invariant |
L |
2.0057715275863 |
L(r)(E,1)/r! |
Ω |
1.0028857637932 |
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 |
10335a1 |
Quadratic twists by: -3 |