Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bm |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
39201747800276992 = 214 · 73 · 178 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -6 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-818833,-284762575] |
[a1,a2,a3,a4,a6] |
Generators |
[-512:7:1] |
Generators of the group modulo torsion |
j |
531250000/343 |
j-invariant |
L |
4.9299925829825 |
L(r)(E,1)/r! |
Ω |
0.15871482960131 |
Real period |
R |
5.1769921959723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472ck2 8092g2 129472c2 |
Quadratic twists by: -4 8 17 |