Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387n |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-107191841427 = -1 · 36 · 116 · 83 |
Discriminant |
Eigenvalues |
-1 3- 2 3 11- 6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1066,-8544] |
[a1,a2,a3,a4,a6] |
Generators |
[1030326:7088848:35937] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
6.4165058068307 |
L(r)(E,1)/r! |
Ω |
0.58741963622376 |
Real period |
R |
10.923206197618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10043c1 747d1 |
Quadratic twists by: -3 -11 |