Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168d |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
127310063616 = 211 · 32 · 194 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20472,-1120500] |
[a1,a2,a3,a4,a6] |
j |
463335730397426/62163117 |
j-invariant |
L |
0.79825419697345 |
L(r)(E,1)/r! |
Ω |
0.39912709848677 |
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 |
48336q4 72504bc4 |
Quadratic twists by: -4 -3 |