Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400z |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5697047520000000 = 211 · 312 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-363408,-84364812] |
[a1,a2,a3,a4,a6] |
j |
165866385031058/178032735 |
j-invariant |
L |
4.6670243679595 |
L(r)(E,1)/r! |
Ω |
0.19445934663468 |
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 |
40200y4 16080c3 |
Quadratic twists by: -4 5 |