Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32912w |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
16850322917648 = 24 · 118 · 173 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28838,1884203] |
[a1,a2,a3,a4,a6] |
Generators |
[5668:8349:64] |
Generators of the group modulo torsion |
j |
773344000/4913 |
j-invariant |
L |
7.8237842762482 |
L(r)(E,1)/r! |
Ω |
0.69773685529483 |
Real period |
R |
3.7376957692463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8228c2 32912ba2 |
Quadratic twists by: -4 -11 |