Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400bg |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
158976000 = 211 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14715,-687050] |
[a1,a2,a3,a4,a6] |
j |
50980111614/23 |
j-invariant |
L |
1.7338818126773 |
L(r)(E,1)/r! |
Ω |
0.43347045317289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800j2 41400f2 41400e2 |
Quadratic twists by: -4 -3 5 |