Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600eo |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
508477500000000 = 28 · 38 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31575,1867250] |
[a1,a2,a3,a4,a6] |
j |
1193895376/174375 |
j-invariant |
L |
2.0055406289565 |
L(r)(E,1)/r! |
Ω |
0.50138516024043 |
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 |
27900a2 37200bt2 22320bm2 |
Quadratic twists by: -4 -3 5 |