Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192cp |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 1 -1 1 4 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,-1357] |
[a1,a2,a3,a4,a6] |
j |
-1171019776/17051 |
j-invariant |
L |
2.4733858496847 |
L(r)(E,1)/r! |
Ω |
0.61834646375527 |
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 |
64192u1 16048k1 |
Quadratic twists by: -4 8 |