Atkin-Lehner |
11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64493k |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168192 |
Modular degree for the optimal curve |
Δ |
4444922053 = 112 · 13 · 414 |
Discriminant |
Eigenvalues |
-1 -1 2 -2 11- 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-290342,-60337122] |
[a1,a2,a3,a4,a6] |
j |
22370105259984461353/36734893 |
j-invariant |
L |
0.82268215202412 |
L(r)(E,1)/r! |
Ω |
0.20567053648188 |
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 |
64493g1 |
Quadratic twists by: -11 |