Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dp |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2617402982400000000 = 227 · 33 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-631788,-176922288] |
[a1,a2,a3,a4,a6] |
j |
3940344055317123/369800000000 |
j-invariant |
L |
1.3628632430152 |
L(r)(E,1)/r! |
Ω |
0.17035780101493 |
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 |
123840k2 30960z2 123840ea2 |
Quadratic twists by: -4 8 -3 |