Atkin-Lehner |
3- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675u |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-900507210479296875 = -1 · 33 · 58 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62188,-46050133] |
[a1,a2,a3,a4,a6] |
j |
-1702252153438201/57632461470675 |
j-invariant |
L |
1.4645379449067 |
L(r)(E,1)/r! |
Ω |
0.12204492775684 |
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 |
25935l2 |
Quadratic twists by: 5 |