Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5382n |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
180479988 = 22 · 38 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22460,1301163] |
[a1,a2,a3,a4,a6] |
Generators |
[81:51:1] |
Generators of the group modulo torsion |
j |
1718728631061625/247572 |
j-invariant |
L |
5.7586186832045 |
L(r)(E,1)/r! |
Ω |
1.4065202900983 |
Real period |
R |
1.0235576983397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056bm2 1794a2 69966o2 123786bg2 |
Quadratic twists by: -4 -3 13 -23 |