Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408b |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1906214035968 = -1 · 29 · 32 · 112 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20328,-1110780] |
[a1,a2,a3,a4,a6] |
j |
-1814508769373000/3723074289 |
j-invariant |
L |
1.5991187145229 |
L(r)(E,1)/r! |
Ω |
0.19988983932835 |
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 |
45408i2 90816bh2 |
Quadratic twists by: -4 8 |