Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320u |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.249634304E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36540963,85019241762] |
[a1,a2,a3,a4,a6] |
Generators |
[125287:44295778:1] |
Generators of the group modulo torsion |
j |
66928707375050045043/155000000000 |
j-invariant |
L |
4.2881631199839 |
L(r)(E,1)/r! |
Ω |
0.19431971370878 |
Real period |
R |
11.033783032458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790a2 89280dq2 22320ba2 111600cp2 |
Quadratic twists by: -4 8 -3 5 |