Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bd |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
469860895296000 = 29 · 32 · 53 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-223136,40630836] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:8650:1] [100:4394:1] |
Generators of the group modulo torsion |
j |
497169541448/190125 |
j-invariant |
L |
8.0770796410219 |
L(r)(E,1)/r! |
Ω |
0.51660420066063 |
Real period |
R |
3.9087369162311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bs2 6240h2 |
Quadratic twists by: -4 13 |