Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800bn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1366180992000 = 210 · 36 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4053,-80523] |
[a1,a2,a3,a4,a6] |
j |
57537462272/10673289 |
j-invariant |
L |
2.4240153930346 |
L(r)(E,1)/r! |
Ω |
0.60600384839539 |
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 |
52800hq1 3300q1 52800dj1 |
Quadratic twists by: -4 8 5 |