Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bp |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
8640 |
Product of Tamagawa factors cp |
Δ |
-9.7104960001922E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187598102,1796124888101] |
[a1,a2,a3,a4,a6] |
Generators |
[-6999:1666699:1] |
Generators of the group modulo torsion |
j |
-1001570448386200281227618329/1332029629656000000000000 |
j-invariant |
L |
9.5405321281327 |
L(r)(E,1)/r! |
Ω |
0.044658022983773 |
Real period |
R |
0.89014726905634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19470l4 |
Quadratic twists by: -3 |