Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ff |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.7830686011662E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680577,-2042852895] |
[a1,a2,a3,a4,a6] |
Generators |
[5445134901796054085:152465607999355640528:3030683934725875] |
Generators of the group modulo torsion |
j |
-9043113453704/462519318807 |
j-invariant |
L |
7.5788185938352 |
L(r)(E,1)/r! |
Ω |
0.065271453211064 |
Real period |
R |
29.028075242952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304hf3 61152cc2 17472dd4 |
Quadratic twists by: -4 8 -7 |