Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bc |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
404010000000000 = 210 · 32 · 510 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42408,3205188] |
[a1,a2,a3,a4,a6] |
j |
527178079876/25250625 |
j-invariant |
L |
2.1050563815888 |
L(r)(E,1)/r! |
Ω |
0.52626410155129 |
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 |
40200x2 16080b2 |
Quadratic twists by: -4 5 |