Atkin-Lehner |
3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58089g |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-14554954107 = -1 · 32 · 176 · 67 |
Discriminant |
Eigenvalues |
-2 3- 0 0 6 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,482,4300] |
[a1,a2,a3,a4,a6] |
j |
512000/603 |
j-invariant |
L |
1.6684912000986 |
L(r)(E,1)/r! |
Ω |
0.83424560037273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
201a1 |
Quadratic twists by: 17 |