Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570f |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
325880257867187500 = 22 · 59 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1958332713,-33355807369219] |
[a1,a2,a3,a4,a6] |
j |
830583210300422276011602377839329/325880257867187500 |
j-invariant |
L |
2.2694882314709 |
L(r)(E,1)/r! |
Ω |
0.022694882314709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
100 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116560m2 72850c2 |
Quadratic twists by: -4 5 |