Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800dx |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-39913843500000000 = -1 · 28 · 38 · 59 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310800,-67380500] |
[a1,a2,a3,a4,a6] |
j |
-1138621087744/13687875 |
j-invariant |
L |
2.4246534040818 |
L(r)(E,1)/r! |
Ω |
0.10102722228679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20700f2 27600cj2 16560bt2 |
Quadratic twists by: -4 -3 5 |