Atkin-Lehner |
2- 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
36816m |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68042872754208768 = 216 · 3 · 134 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200192,-32044032] |
[a1,a2,a3,a4,a6] |
j |
216623759464300033/16612029481008 |
j-invariant |
L |
0.45359755666274 |
L(r)(E,1)/r! |
Ω |
0.22679877831871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4602f3 110448bo3 |
Quadratic twists by: -4 -3 |