Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456f |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42911285921906688 = 216 · 37 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163553,-23372319] |
[a1,a2,a3,a4,a6] |
j |
7382814913718500/654774260283 |
j-invariant |
L |
0.47749370590977 |
L(r)(E,1)/r! |
Ω |
0.23874685295481 |
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 |
27456ci2 3432c2 82368cc2 |
Quadratic twists by: -4 8 -3 |