Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cn |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2891931923865600 = -1 · 213 · 39 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33507,-3502494] |
[a1,a2,a3,a4,a6] |
j |
-51603494067/35870450 |
j-invariant |
L |
1.3693517356498 |
L(r)(E,1)/r! |
Ω |
0.17116896721716 |
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 |
6930d2 55440cd2 |
Quadratic twists by: -4 -3 |