Atkin-Lehner |
2+ 3- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774k |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1130796832512 = -1 · 28 · 3 · 176 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-440,-51322] |
[a1,a2,a3,a4,a6] |
j |
-389017/46848 |
j-invariant |
L |
0.77112044863222 |
L(r)(E,1)/r! |
Ω |
0.3855603010587 |
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 |
366e1 |
Quadratic twists by: 17 |