Atkin-Lehner |
3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233r |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15254065139384979 = 310 · 172 · 197 |
Discriminant |
Eigenvalues |
1 3- -2 2 -2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-339588,-75851735] |
[a1,a2,a3,a4,a6] |
j |
126279339913/444771 |
j-invariant |
L |
0.79124938412317 |
L(r)(E,1)/r! |
Ω |
0.19781234640256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18411e2 2907a2 |
Quadratic twists by: -3 -19 |