Atkin-Lehner |
5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57475i |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.1552138713496E+25 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2971802917,62355582107616] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
1.8400359625236 |
L(r)(E,1)/r! |
Ω |
0.057501123810392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11495f2 5225b2 |
Quadratic twists by: 5 -11 |