Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165bc |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-17436244161375 = -1 · 32 · 53 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6165,75672] |
[a1,a2,a3,a4,a6] |
j |
5368567751/3612375 |
j-invariant |
L |
2.6111787475048 |
L(r)(E,1)/r! |
Ω |
0.43519645801654 |
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 |
3705f1 |
Quadratic twists by: 13 |