Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120u |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3855268884480 = 212 · 3 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175985,-28474497] |
[a1,a2,a3,a4,a6] |
Generators |
[53639400276:-2232660296931:29218112] |
Generators of the group modulo torsion |
j |
30488290624/195 |
j-invariant |
L |
8.9039639177086 |
L(r)(E,1)/r! |
Ω |
0.23309373590268 |
Real period |
R |
19.09953496081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bg4 6240ba2 |
Quadratic twists by: -4 13 |