Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400ba |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-43000000000 = -1 · 29 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 2 -7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-22188] |
[a1,a2,a3,a4,a6] |
j |
-38614472/5375 |
j-invariant |
L |
1.546710345304 |
L(r)(E,1)/r! |
Ω |
0.3866775863259 |
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 |
34400bi1 68800dt1 6880d1 |
Quadratic twists by: -4 8 5 |