Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800c |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
453342420000000000 = 211 · 34 · 510 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54004408,-152735763188] |
[a1,a2,a3,a4,a6] |
j |
544328872410114151778/14166950625 |
j-invariant |
L |
2.0049094046216 |
L(r)(E,1)/r! |
Ω |
0.055691927906154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600s4 110400dl4 41400bi4 2760h3 |
Quadratic twists by: -4 8 -3 5 |