Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57420l |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
75346524000000 = 28 · 310 · 56 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18687,890134] |
[a1,a2,a3,a4,a6] |
j |
3867007151824/403734375 |
j-invariant |
L |
3.5659456272875 |
L(r)(E,1)/r! |
Ω |
0.59432427069024 |
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 |
19140h2 |
Quadratic twists by: -3 |