Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682s |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-312101315260416 = -1 · 212 · 36 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 5 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16276,285167] |
[a1,a2,a3,a4,a6] |
j |
654130263799943/428122517504 |
j-invariant |
L |
2.723915731602 |
L(r)(E,1)/r! |
Ω |
0.34048946645026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93456bl2 1298a2 128502r2 |
Quadratic twists by: -4 -3 -11 |