Atkin-Lehner |
2- 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582bm |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
12097352592 = 24 · 36 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-995,-10605] |
[a1,a2,a3,a4,a6] |
j |
149298747625/16594448 |
j-invariant |
L |
6.8500325819523 |
L(r)(E,1)/r! |
Ω |
0.85625407132191 |
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 |
8398e1 |
Quadratic twists by: -3 |