Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192p |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3 3 -1 2 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736,7688] |
[a1,a2,a3,a4,a6] |
j |
-43058331648/17051 |
j-invariant |
L |
8.6022248969336 |
L(r)(E,1)/r! |
Ω |
2.1505562241521 |
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 |
64192bt1 4012a1 |
Quadratic twists by: -4 8 |