Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410y |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
3.3504137466651E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-442874228,2261348175831] |
[a1,a2,a3,a4,a6] |
Generators |
[-21435:1391117:1] |
Generators of the group modulo torsion |
j |
13177632987873514146962382841/4595903630542037975040000 |
j-invariant |
L |
10.183779765723 |
L(r)(E,1)/r! |
Ω |
0.041004684839801 |
Real period |
R |
6.2089123508165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19470i2 |
Quadratic twists by: -3 |