Atkin-Lehner |
2+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550h |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
584640 |
Modular degree for the optimal curve |
Δ |
4097254583435264000 = 229 · 53 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1033727,392896781] |
[a1,a2,a3,a4,a6] |
j |
977308137297052388541/32778036667482112 |
j-invariant |
L |
0.49081761429051 |
L(r)(E,1)/r! |
Ω |
0.24540880714046 |
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 |
36550bd1 |
Quadratic twists by: 5 |