Atkin-Lehner |
3- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55341a |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-40343589 = -1 · 38 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
1 3- 3 1 11+ 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-198,-1067] |
[a1,a2,a3,a4,a6] |
j |
-1180932193/55341 |
j-invariant |
L |
2.5378973716028 |
L(r)(E,1)/r! |
Ω |
0.63447434302899 |
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 |
18447d1 |
Quadratic twists by: -3 |