Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798m |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11922721347609306 = 2 · 36 · 137 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222351,40068107] |
[a1,a2,a3,a4,a6] |
j |
345505073913/3388346 |
j-invariant |
L |
1.6140643626555 |
L(r)(E,1)/r! |
Ω |
0.40351609063012 |
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 |
6422e3 4446q4 |
Quadratic twists by: -3 13 |