Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dl |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5652734616432E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29106363,-57365106838] |
[a1,a2,a3,a4,a6] |
Generators |
[-401245:6835374:125] |
Generators of the group modulo torsion |
j |
189208196468929/10860320250 |
j-invariant |
L |
6.6910672167977 |
L(r)(E,1)/r! |
Ω |
0.065231259810015 |
Real period |
R |
6.4109094998439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999485175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bf4 40560br4 9360cb4 |
Quadratic twists by: -4 -3 13 |