Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800w |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16320000000 = 212 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34033,-2427937] |
[a1,a2,a3,a4,a6] |
j |
68117264704/255 |
j-invariant |
L |
5.6239767037375 |
L(r)(E,1)/r! |
Ω |
0.35149854399011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800e4 81600fv1 122400du4 8160i2 |
Quadratic twists by: -4 8 -3 5 |