Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808a |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-42744832 = -1 · 210 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7673,-256159] |
[a1,a2,a3,a4,a6] |
Generators |
[83166999436431680:-3668094543459628857:42643891494953] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
7.2749547733333 |
L(r)(E,1)/r! |
Ω |
0.25504893862824 |
Real period |
R |
28.523760233863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15808p2 988d2 |
Quadratic twists by: -4 8 |