Atkin-Lehner |
2- 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bs |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-203821518101151744 = -1 · 230 · 36 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 0 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247611,-52162198] |
[a1,a2,a3,a4,a6] |
j |
-562271457628153/68259414016 |
j-invariant |
L |
1.275449513218 |
L(r)(E,1)/r! |
Ω |
0.10628746525778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218t2 14416g2 |
Quadratic twists by: -4 -3 |