Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330c |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512000 |
Modular degree for the optimal curve |
Δ |
4.5878924817959E+23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-804341669,8780164614672] |
[a1,a2,a3,a4,a6] |
Generators |
[146348003709:164208419722:8869743] |
Generators of the group modulo torsion |
j |
96751437829777336381489/771303397130240 |
j-invariant |
L |
2.3957708534891 |
L(r)(E,1)/r! |
Ω |
0.084134913477631 |
Real period |
R |
14.237673385538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770e1 |
Quadratic twists by: 29 |