Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864p |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3555829964375197696 = 211 · 114 · 179 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407779,-42595710] |
[a1,a2,a3,a4,a6] |
j |
30876498/14641 |
j-invariant |
L |
1.5833821159124 |
L(r)(E,1)/r! |
Ω |
0.19792276450052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432a2 50864c2 |
Quadratic twists by: -4 17 |