Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ft |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
3.3024333008453E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504395585,-4351579150017] |
[a1,a2,a3,a4,a6] |
j |
216549712715884743061323076/503911331305734830625 |
j-invariant |
L |
2.2940345769462 |
L(r)(E,1)/r! |
Ω |
0.03186159120695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680bp2 31920c2 |
Quadratic twists by: -4 8 |