Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
125460k |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
563883482880 = 28 · 37 · 5 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13503,-602858] |
[a1,a2,a3,a4,a6] |
j |
1458972216016/3021495 |
j-invariant |
L |
0.88588254779343 |
L(r)(E,1)/r! |
Ω |
0.44294114445156 |
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 |
41820k1 |
Quadratic twists by: -3 |