Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14415f |
Isogeny class |
Conductor |
14415 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
501417392172975 = 36 · 52 · 317 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156183,-23745857] |
[a1,a2,a3,a4,a6] |
j |
474734543401/564975 |
j-invariant |
L |
2.8820647118891 |
L(r)(E,1)/r! |
Ω |
0.24017205932409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43245d2 72075j2 465a2 |
Quadratic twists by: -3 5 -31 |