Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bu |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-118793037940785152 = -1 · 222 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38420,-16327344] |
[a1,a2,a3,a4,a6] |
j |
4869777375/92236816 |
j-invariant |
L |
1.2910622175309 |
L(r)(E,1)/r! |
Ω |
0.16138261855758 |
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 |
129472y2 32368g2 129472cu2 |
Quadratic twists by: -4 8 17 |