Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190u |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-3645532986801112000 = -1 · 26 · 53 · 11 · 2310 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-285671,109029001] |
[a1,a2,a3,a4,a6] |
j |
-62236321/88000 |
j-invariant |
L |
1.3468192574645 |
L(r)(E,1)/r! |
Ω |
0.22446987652146 |
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 |
58190be1 |
Quadratic twists by: -23 |