Atkin-Lehner |
2+ 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530g |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
5.0972089410899E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-335239484,2360022812282] |
[a1,a2,a3,a4,a6] |
j |
4166670912369504728113463414329/5097208941089898209280000 |
j-invariant |
L |
1.3760680484012 |
L(r)(E,1)/r! |
Ω |
0.076448224911179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
108240u1 40590bo1 67650cb1 |
Quadratic twists by: -4 -3 5 |