Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5382j |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
20334078648 = 23 · 37 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2530940,1550415431] |
[a1,a2,a3,a4,a6] |
j |
2459470239675979413625/27893112 |
j-invariant |
L |
2.4468320914765 |
L(r)(E,1)/r! |
Ω |
0.61170802286913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
43056bu4 1794f4 69966g4 123786bi4 |
Quadratic twists by: -4 -3 13 -23 |