Atkin-Lehner |
2- 11- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15466f |
Isogeny class |
Conductor |
15466 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-17035171281272408 = -1 · 23 · 112 · 193 · 376 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21793,-6402335] |
[a1,a2,a3,a4,a6] |
Generators |
[228:589:1] |
Generators of the group modulo torsion |
j |
-1144658701878324625/17035171281272408 |
j-invariant |
L |
8.3062857852622 |
L(r)(E,1)/r! |
Ω |
0.16705583248546 |
Real period |
R |
0.46038532401398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728k2 |
Quadratic twists by: -4 |