Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dl |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5645436706308833280 = 214 · 38 · 5 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6817683,-6850824878] |
[a1,a2,a3,a4,a6] |
j |
11736717412386894481/1890645330420 |
j-invariant |
L |
2.9898164689776 |
L(r)(E,1)/r! |
Ω |
0.093431764692974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930g5 18480dg5 |
Quadratic twists by: -4 -3 |