Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bn |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.8275593569507E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34325643,76226878442] |
[a1,a2,a3,a4,a6] |
Generators |
[-2101:372922:1] |
Generators of the group modulo torsion |
j |
3382175663521924/59189241375 |
j-invariant |
L |
4.4926953321294 |
L(r)(E,1)/r! |
Ω |
0.10871722121291 |
Real period |
R |
5.1655745988358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560ca4 29040t4 7920i3 |
Quadratic twists by: -4 -3 -11 |