Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622cd |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-389721253824 = -1 · 26 · 36 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-524,-30257] |
[a1,a2,a3,a4,a6] |
j |
-185193/4544 |
j-invariant |
L |
4.9364670306103 |
L(r)(E,1)/r! |
Ω |
0.41137225336067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958e1 1278h1 |
Quadratic twists by: -3 -7 |