Atkin-Lehner |
3- 13+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57681c |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14662202734717317 = 38 · 13 · 172 · 296 |
Discriminant |
Eigenvalues |
1 3- 0 4 -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166617,25562628] |
[a1,a2,a3,a4,a6] |
j |
701706632869140625/20112760952973 |
j-invariant |
L |
1.5730255782732 |
L(r)(E,1)/r! |
Ω |
0.39325639513599 |
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 |
19227e2 |
Quadratic twists by: -3 |