Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552ca |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-286834268012544 = -1 · 215 · 37 · 7 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 -6 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32961,-2432223] |
[a1,a2,a3,a4,a6] |
j |
-120861530858888/8753487183 |
j-invariant |
L |
0.35285118472952 |
L(r)(E,1)/r! |
Ω |
0.1764258126227 |
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 |
111552dn1 55776p1 |
Quadratic twists by: -4 8 |