Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600k |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
103500000000000 = 211 · 32 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21408,-1094688] |
[a1,a2,a3,a4,a6] |
j |
33909572018/3234375 |
j-invariant |
L |
3.1768346966331 |
L(r)(E,1)/r! |
Ω |
0.39710433707917 |
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 |
13800x2 110400ir2 82800bb2 5520f2 |
Quadratic twists by: -4 8 -3 5 |