Atkin-Lehner |
2+ 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072i |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
89083456512 = 210 · 3 · 294 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2904,57540] |
[a1,a2,a3,a4,a6] |
j |
2645837292388/86995563 |
j-invariant |
L |
1.0680002776231 |
L(r)(E,1)/r! |
Ω |
1.0680002790656 |
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 |
28536a4 |
Quadratic twists by: -4 |