Atkin-Lehner |
3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285n |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40377584657475 = 39 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-413237,102348874] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:11441:1] |
Generators of the group modulo torsion |
j |
82142689923/425 |
j-invariant |
L |
2.9613030487298 |
L(r)(E,1)/r! |
Ω |
0.5717946229716 |
Real period |
R |
1.2947407213316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997242111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129285d2 765a2 |
Quadratic twists by: -3 13 |