Atkin-Lehner |
3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989j |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-172682537556039 = -1 · 3 · 72 · 537 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -2 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2750,-629569] |
[a1,a2,a3,a4,a6] |
j |
103823/7791 |
j-invariant |
L |
4.899876877161 |
L(r)(E,1)/r! |
Ω |
0.27221538206175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1113b1 |
Quadratic twists by: 53 |