Atkin-Lehner |
2- 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bl |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
3810259305216 = 28 · 34 · 75 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1165372,-483834260] |
[a1,a2,a3,a4,a6] |
j |
683719328115005337808/14883825411 |
j-invariant |
L |
2.9061185743854 |
L(r)(E,1)/r! |
Ω |
0.14530594370774 |
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 |
31668c2 |
Quadratic twists by: -4 |