Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965o |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.3230696606E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238141471,1403604939176] |
[a1,a2,a3,a4,a6] |
Generators |
[-2179:1383902:1] |
Generators of the group modulo torsion |
j |
12695229840756170655249121/112459065576416015625 |
j-invariant |
L |
3.2672862913954 |
L(r)(E,1)/r! |
Ω |
0.071159049370074 |
Real period |
R |
3.8262717114204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41895bk3 69825j3 1995d3 |
Quadratic twists by: -3 5 -7 |