Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dl |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
155024212754432 = 217 · 72 · 176 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46625,3812959] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2023:1] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
3.4917801615866 |
L(r)(E,1)/r! |
Ω |
0.57850111911009 |
Real period |
R |
1.5089773078261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997606667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472k2 32368e2 448e2 |
Quadratic twists by: -4 8 17 |