Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530x |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
19935332010000 = 24 · 34 · 54 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23340,1353600] |
[a1,a2,a3,a4,a6] |
j |
1406136333450836161/19935332010000 |
j-invariant |
L |
5.4898104847398 |
L(r)(E,1)/r! |
Ω |
0.68622631059248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
108240ba2 40590e2 67650k2 |
Quadratic twists by: -4 -3 5 |