Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bq |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1139691832031250000 = 24 · 314 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18300000380,952855065115247] |
[a1,a2,a3,a4,a6] |
j |
59501710967615564842432531441/100055250000 |
j-invariant |
L |
5.4112154459452 |
L(r)(E,1)/r! |
Ω |
0.084550241342912 |
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 |
9150j5 5490e5 |
Quadratic twists by: -3 5 |