Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bi |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-2757670738254102528 = -1 · 221 · 312 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,343871,19076255] |
[a1,a2,a3,a4,a6] |
j |
17154149157653327/10519679024712 |
j-invariant |
L |
3.7763213855989 |
L(r)(E,1)/r! |
Ω |
0.15734672439995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456bo3 858e4 82368bh3 |
Quadratic twists by: -4 8 -3 |