Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cy |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-194889163628150784 = -1 · 216 · 36 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70836,-19961840] |
[a1,a2,a3,a4,a6] |
j |
822769797308/4079249161 |
j-invariant |
L |
2.5626019981332 |
L(r)(E,1)/r! |
Ω |
0.16016257436665 |
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 |
127296ba2 31824g2 14144bf2 |
Quadratic twists by: -4 8 -3 |