Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bd |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
9.1035900001802E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35755583,-68290818073] |
[a1,a2,a3,a4,a6] |
j |
6934701365232718700094121/1248777777802500000000 |
j-invariant |
L |
3.0001836508883 |
L(r)(E,1)/r! |
Ω |
0.062503826002215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19470o2 |
Quadratic twists by: -3 |