Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8040f |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25856640000 = 210 · 32 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1696,-26320] |
[a1,a2,a3,a4,a6] |
j |
527178079876/25250625 |
j-invariant |
L |
0.74612144697389 |
L(r)(E,1)/r! |
Ω |
0.74612144697389 |
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 |
16080b2 64320t2 24120w2 40200x2 |
Quadratic twists by: -4 8 -3 5 |