Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520x |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
125866858521600 = 210 · 36 · 52 · 74 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19880,-940800] |
[a1,a2,a3,a4,a6] |
j |
848583809246884/122916854025 |
j-invariant |
L |
4.8713870144651 |
L(r)(E,1)/r! |
Ω |
0.40594891787118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040h2 |
Quadratic twists by: -4 |