Atkin-Lehner |
3+ 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725j |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1104852181640625 = 36 · 59 · 114 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26825,-561000] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:276:1] |
Generators of the group modulo torsion |
j |
1093045300901/565684317 |
j-invariant |
L |
5.1809463948991 |
L(r)(E,1)/r! |
Ω |
0.39466661515321 |
Real period |
R |
3.2818499183762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43725u2 |
Quadratic twists by: 5 |