Atkin-Lehner |
2- 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826x |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-32683136580864 = -1 · 28 · 37 · 7 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18086,-971211] |
[a1,a2,a3,a4,a6] |
j |
-897431379955993/44832834816 |
j-invariant |
L |
6.5678516577268 |
L(r)(E,1)/r! |
Ω |
0.20524536429304 |
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 |
18942c1 |
Quadratic twists by: -3 |