Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120f |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.6074188401E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8817519,-7171379775] |
[a1,a2,a3,a4,a6] |
Generators |
[130152:10363249:27] |
Generators of the group modulo torsion |
j |
3834800837445824/3342041015625 |
j-invariant |
L |
3.4679671414196 |
L(r)(E,1)/r! |
Ω |
0.060629242369088 |
Real period |
R |
7.1499473872864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120s2 6240z4 |
Quadratic twists by: -4 13 |