Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403h |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
76712132733561 = 37 · 138 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10679,55878] |
[a1,a2,a3,a4,a6] |
j |
38272753/21801 |
j-invariant |
L |
1.050024925121 |
L(r)(E,1)/r! |
Ω |
0.52501246130872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21801b1 5031c1 |
Quadratic twists by: -3 13 |