Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bh |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
11526144819200000 = 218 · 55 · 114 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1061665,-421368225] |
[a1,a2,a3,a4,a6] |
Generators |
[1345:24200:1] |
Generators of the group modulo torsion |
j |
504831795225826249/43968753125 |
j-invariant |
L |
3.7899677619844 |
L(r)(E,1)/r! |
Ω |
0.14873217029155 |
Real period |
R |
2.5481829375214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999367008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120r2 27280n2 |
Quadratic twists by: -4 8 |