Atkin-Lehner |
2- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64448n |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
474880 |
Modular degree for the optimal curve |
Δ |
-22855179936668672 = -1 · 210 · 19 · 537 |
Discriminant |
Eigenvalues |
2- 1 0 4 -5 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69393,10096679] |
[a1,a2,a3,a4,a6] |
j |
-36089179133728000/22319511656903 |
j-invariant |
L |
2.4643818282404 |
L(r)(E,1)/r! |
Ω |
0.35205454843377 |
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 |
64448e1 16112a1 |
Quadratic twists by: -4 8 |