Atkin-Lehner |
2- 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11214r |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
4590009529878528 = 211 · 36 · 72 · 894 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87908,-9465721] |
[a1,a2,a3,a4,a6] |
j |
103056823169347321/6296309368832 |
j-invariant |
L |
6.1231224289698 |
L(r)(E,1)/r! |
Ω |
0.27832374677135 |
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 |
89712t2 1246g2 78498ch2 |
Quadratic twists by: -4 -3 -7 |