Atkin-Lehner |
2- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336p |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-16340639285248 = -1 · 225 · 193 · 71 |
Discriminant |
Eigenvalues |
2- 2 -4 1 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2335,188801] |
[a1,a2,a3,a4,a6] |
j |
5368567751/62334592 |
j-invariant |
L |
3.0796441953742 |
L(r)(E,1)/r! |
Ω |
0.51327401794769 |
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 |
86336b1 21584b1 |
Quadratic twists by: -4 8 |