Atkin-Lehner |
7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38857a |
Isogeny class |
Conductor |
38857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-16164719285114491 = -1 · 711 · 133 · 612 |
Discriminant |
Eigenvalues |
-2 2 1 7- -6 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-176710,-29179900] |
[a1,a2,a3,a4,a6] |
j |
-5187060462628864/137397846859 |
j-invariant |
L |
0.92996182036449 |
L(r)(E,1)/r! |
Ω |
0.11624522755048 |
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 |
5551c1 |
Quadratic twists by: -7 |