Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582t |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
26542080 |
Modular degree for the optimal curve |
Δ |
8.0087933393656E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38956484,-92594968126] |
[a1,a2,a3,a4,a6] |
j |
270875313271355198041/3317978434102272 |
j-invariant |
L |
6.5313046813356 |
L(r)(E,1)/r! |
Ω |
0.060475059570556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446d1 |
Quadratic twists by: 17 |