Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100bh |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25725,1596665] |
[a1,a2,a3,a4,a6] |
j |
-160000 |
j-invariant |
L |
2.8758049787663 |
L(r)(E,1)/r! |
Ω |
0.71895124460749 |
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 |
4900j1 44100db1 44100bj1 |
Quadratic twists by: -3 5 -7 |