Atkin-Lehner |
5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255a |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
379008 |
Modular degree for the optimal curve |
Δ |
-473364383912875 = -1 · 53 · 78 · 134 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ -2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5374,-1037534] |
[a1,a2,a3,a4,a6] |
j |
2976813056/82112875 |
j-invariant |
L |
1.5239243853564 |
L(r)(E,1)/r! |
Ω |
0.25398739984071 |
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 |
73255u1 |
Quadratic twists by: -7 |