Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bg |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-38453496120 = -1 · 23 · 39 · 5 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,347,9128] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:80:1] |
Generators of the group modulo torsion |
j |
27455118431/227535480 |
j-invariant |
L |
5.4232410637966 |
L(r)(E,1)/r! |
Ω |
0.84210435749344 |
Real period |
R |
0.35778364938972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190ck1 |
Quadratic twists by: 13 |