Atkin-Lehner |
2+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440a |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
391040000 = 210 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13043,573342] |
[a1,a2,a3,a4,a6] |
j |
239638304574756/381875 |
j-invariant |
L |
1.4403132564905 |
L(r)(E,1)/r! |
Ω |
1.4403132564904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48880a4 122200w4 |
Quadratic twists by: -4 5 |