Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800j |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-876000000 = -1 · 28 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-1437] |
[a1,a2,a3,a4,a6] |
j |
-1024/219 |
j-invariant |
L |
2.8180386244502 |
L(r)(E,1)/r! |
Ω |
0.70450965612652 |
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 |
87600a1 1752f1 |
Quadratic twists by: -4 5 |