Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424o |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59023694905344 = 214 · 310 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80049,-8682831] |
[a1,a2,a3,a4,a6] |
j |
3462397543530448/3602520441 |
j-invariant |
L |
0.56769785166054 |
L(r)(E,1)/r! |
Ω |
0.28384892574149 |
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 |
47424cz2 5928h2 |
Quadratic twists by: -4 8 |