Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bj |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.7308806374451E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-917704,226767664] |
[a1,a2,a3,a4,a6] |
Generators |
[-3858:508690:27] |
Generators of the group modulo torsion |
j |
11779205551777/3763454409 |
j-invariant |
L |
4.6235642682678 |
L(r)(E,1)/r! |
Ω |
0.19478658816942 |
Real period |
R |
5.9341409371231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001802 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4719j4 6864r4 |
Quadratic twists by: -4 -11 |