Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970ch |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9.8927841529688E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12613466,-8265647004] |
[a1,a2,a3,a4,a6] |
j |
125276879181017571769/55842187500000000 |
j-invariant |
L |
5.3440176722168 |
L(r)(E,1)/r! |
Ω |
0.083500276248914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270k2 |
Quadratic twists by: -11 |