Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192bm |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-338631645571579904 = -1 · 236 · 174 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 1 -2 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64159,27268609] |
[a1,a2,a3,a4,a6] |
j |
111416568869159/1291777212416 |
j-invariant |
L |
0.89678457773065 |
L(r)(E,1)/r! |
Ω |
0.22419614425893 |
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 |
64192j1 16048s1 |
Quadratic twists by: -4 8 |