Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905u |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.272009692201E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34681995,70435310400] |
[a1,a2,a3,a4,a6] |
Generators |
[2256:59460:1] |
Generators of the group modulo torsion |
j |
6328611043032432939084721/723183771220991613225 |
j-invariant |
L |
5.3627022575167 |
L(r)(E,1)/r! |
Ω |
0.089625021745355 |
Real period |
R |
3.7396798859516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998722 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635t5 |
Quadratic twists by: -3 |