Atkin-Lehner |
3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825l |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.8034205436707E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-324754251,-2252604888977] |
[a1,a2,a3,a4,a6] |
j |
242419872314743996084037281/371418914794921875 |
j-invariant |
L |
1.138048739034 |
L(r)(E,1)/r! |
Ω |
0.035564023094832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475t8 5565d7 |
Quadratic twists by: -3 5 |