Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bm |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1.8320101143371E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-986626,-316112977] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/242911305 |
j-invariant |
L |
3.0653302434851 |
L(r)(E,1)/r! |
Ω |
0.1532665133892 |
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 |
17745i1 6825j1 |
Quadratic twists by: 5 13 |