Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cj |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
-7.3733777211018E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1952133,-1676630925] |
[a1,a2,a3,a4,a6] |
j |
-7744000000/6940323 |
j-invariant |
L |
0.61568457099065 |
L(r)(E,1)/r! |
Ω |
0.061568456698696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719e1 75504cv1 |
Quadratic twists by: -4 -11 |