Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gf |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
660275000000 = 26 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,24062] |
[a1,a2,a3,a4,a6] |
j |
1544804416/660275 |
j-invariant |
L |
3.2820439063956 |
L(r)(E,1)/r! |
Ω |
0.8205111400116 |
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 |
123200ef1 61600l2 24640bh1 |
Quadratic twists by: -4 8 5 |