Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770r |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.9712691977713E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,46950563,-174045171971] |
[a1,a2,a3,a4,a6] |
Generators |
[5153:449921:1] |
Generators of the group modulo torsion |
j |
2371297246710590562911/4084000833203280000 |
j-invariant |
L |
3.150456178401 |
L(r)(E,1)/r! |
Ω |
0.035986932295955 |
Real period |
R |
5.4715280962552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330d4 |
Quadratic twists by: 13 |