Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368ch |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20258370896265216 = 224 · 310 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181164,28878640] |
[a1,a2,a3,a4,a6] |
j |
3440899317673/106007616 |
j-invariant |
L |
1.529757510552 |
L(r)(E,1)/r! |
Ω |
0.38243938966534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368ee2 2574t2 27456bc2 |
Quadratic twists by: -4 8 -3 |