Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450bk |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2484978750000 = -1 · 24 · 39 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8480,-307853] |
[a1,a2,a3,a4,a6] |
j |
-219256227/8080 |
j-invariant |
L |
3.9715126705379 |
L(r)(E,1)/r! |
Ω |
0.24821954191805 |
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 |
45450f1 9090c1 |
Quadratic twists by: -3 5 |