Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790p |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
50347444881600000 = 29 · 316 · 55 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131265,-14750019] |
[a1,a2,a3,a4,a6] |
j |
343119083778631441/69063710400000 |
j-invariant |
L |
0.50871245569613 |
L(r)(E,1)/r! |
Ω |
0.25435622750783 |
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 |
21930bj1 |
Quadratic twists by: -3 |