Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600bl |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3052339200 = 216 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1128,-13968] |
[a1,a2,a3,a4,a6] |
j |
1551443665/29808 |
j-invariant |
L |
3.2988080213935 |
L(r)(E,1)/r! |
Ω |
0.8247020053483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3450k1 110400ia1 82800em1 27600dh1 |
Quadratic twists by: -4 8 -3 5 |