Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800k |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-6706800000000 = -1 · 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2992,-106512] |
[a1,a2,a3,a4,a6] |
j |
185073116/419175 |
j-invariant |
L |
2.3309285948524 |
L(r)(E,1)/r! |
Ω |
0.38848809914207 |
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 |
27600h1 110400l1 41400by1 2760g1 |
Quadratic twists by: -4 8 -3 5 |