Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bj |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
2044856447657472 = 29 · 3 · 17 · 238 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -4 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-456009,-118542567] |
[a1,a2,a3,a4,a6] |
j |
133912564177/26112 |
j-invariant |
L |
1.6534984319685 |
L(r)(E,1)/r! |
Ω |
0.18372204795259 |
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 |
53958bn1 |
Quadratic twists by: -23 |