Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bg |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
324516599784419328 = 212 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433299,-106305262] |
[a1,a2,a3,a4,a6] |
j |
3013001140430737/108679952667 |
j-invariant |
L |
2.9839033558524 |
L(r)(E,1)/r! |
Ω |
0.18649395974077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1287e5 82368eq6 6864r5 |
Quadratic twists by: -4 8 -3 |