Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400u |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
12393000000 = 26 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,-13500] |
[a1,a2,a3,a4,a6] |
j |
216000/17 |
j-invariant |
L |
1.6569249118397 |
L(r)(E,1)/r! |
Ω |
0.82846246357115 |
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 |
122400dc1 13600s1 4896q1 |
Quadratic twists by: -4 -3 5 |