Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456p |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28489797511938048 = 218 · 3 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192577,-31433663] |
[a1,a2,a3,a4,a6] |
j |
3013001140430737/108679952667 |
j-invariant |
L |
1.8272601659042 |
L(r)(E,1)/r! |
Ω |
0.22840752073802 |
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 |
27456bz6 429b5 82368w6 |
Quadratic twists by: -4 8 -3 |