Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154i |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
778263021280540224 = 26 · 36 · 112 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-234406,10226260] |
[a1,a2,a3,a4,a6] |
j |
295102348042033/161237583936 |
j-invariant |
L |
0.49373170345555 |
L(r)(E,1)/r! |
Ω |
0.24686585172777 |
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 |
89232cb2 33462cj2 122694cp2 858e2 |
Quadratic twists by: -4 -3 -11 13 |