Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cw |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.8726307111109E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-387965023,-2941305111769] |
[a1,a2,a3,a4,a6] |
j |
11372424889583066401/50586128775 |
j-invariant |
L |
1.6328368001131 |
L(r)(E,1)/r! |
Ω |
0.034017432158465 |
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 |
17745d4 9555q3 |
Quadratic twists by: -7 13 |