Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792be |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3311678858857463808 = 214 · 32 · 710 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1763377,896442383] |
[a1,a2,a3,a4,a6] |
j |
37011742745030294992/202128836600187 |
j-invariant |
L |
4.0427346279044 |
L(r)(E,1)/r! |
Ω |
0.25267091427542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792cl2 3612d2 |
Quadratic twists by: -4 8 |