Atkin-Lehner |
3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
16185a |
Isogeny class |
Conductor |
16185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
-73852155 = -1 · 34 · 5 · 133 · 83 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -6 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,104,42] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-59:1] |
Generators of the group modulo torsion |
j |
123208626176/73852155 |
j-invariant |
L |
1.1298994712064 |
L(r)(E,1)/r! |
Ω |
1.1879076095119 |
Real period |
R |
0.15852796718069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48555k1 80925m1 |
Quadratic twists by: -3 5 |