Atkin-Lehner |
13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71383c |
Isogeny class |
Conductor |
71383 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
108205135337 = 132 · 173 · 194 |
Discriminant |
Eigenvalues |
1 2 0 2 6 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2105,-34528] |
[a1,a2,a3,a4,a6] |
j |
210114283625/22024249 |
j-invariant |
L |
5.6765281334845 |
L(r)(E,1)/r! |
Ω |
0.70956602082235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71383d1 |
Quadratic twists by: 17 |