Atkin-Lehner |
2+ 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950m |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1489920 |
Modular degree for the optimal curve |
Δ |
-2773223417569280000 = -1 · 216 · 54 · 138 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 -3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,198425,-72457675] |
[a1,a2,a3,a4,a6] |
j |
1382386365983984375/4437157468110848 |
j-invariant |
L |
0.52132928054133 |
L(r)(E,1)/r! |
Ω |
0.13033231960805 |
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 |
53950y1 |
Quadratic twists by: 5 |