Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bq |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
166166865709925652 = 22 · 36 · 1110 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2704010,-1710646891] |
[a1,a2,a3,a4,a6] |
j |
115636266625/8788 |
j-invariant |
L |
2.1192001663555 |
L(r)(E,1)/r! |
Ω |
0.11773334257526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146b2 28314y2 |
Quadratic twists by: -3 -11 |