Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552k |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
249988032 = 26 · 34 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-728,7770] |
[a1,a2,a3,a4,a6] |
j |
667627624000/3906063 |
j-invariant |
L |
1.7623093554228 |
L(r)(E,1)/r! |
Ω |
1.7623090190164 |
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 |
111552bo1 55776o2 |
Quadratic twists by: -4 8 |