Atkin-Lehner |
2- 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7878g |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-2607634134144 = -1 · 27 · 32 · 133 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-179944,-29395264] |
[a1,a2,a3,a4,a6] |
j |
-644370980696596423297/2607634134144 |
j-invariant |
L |
4.8678186338708 |
L(r)(E,1)/r! |
Ω |
0.11590044366359 |
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 |
63024l2 23634h2 102414j2 |
Quadratic twists by: -4 -3 13 |