Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320k |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3732624000000 = 210 · 32 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3920,15600] |
[a1,a2,a3,a4,a6] |
j |
6507178816324/3645140625 |
j-invariant |
L |
4.080370918267 |
L(r)(E,1)/r! |
Ω |
0.68006181971117 |
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 |
38640n2 57960bn2 96600br2 |
Quadratic twists by: -4 -3 5 |