Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400o |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
656000000000000 = 216 · 512 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67008,-6584012] |
[a1,a2,a3,a4,a6] |
j |
519912412921/10250000 |
j-invariant |
L |
1.1883588348477 |
L(r)(E,1)/r! |
Ω |
0.29708970871193 |
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 |
2050d1 65600bh1 3280j1 |
Quadratic twists by: -4 8 5 |