Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552bg |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-75562647552 = -1 · 215 · 34 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 5 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92001,10710207] |
[a1,a2,a3,a4,a6] |
j |
-2628186265656008/2305989 |
j-invariant |
L |
7.2786621581762 |
L(r)(E,1)/r! |
Ω |
0.90983273961568 |
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 |
111552ba1 55776d1 |
Quadratic twists by: -4 8 |