Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248m |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-17169408 = -1 · 210 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -4 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-200] |
[a1,a2,a3,a4,a6] |
j |
-256/23 |
j-invariant |
L |
0.96857490254234 |
L(r)(E,1)/r! |
Ω |
0.96857490254234 |
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 |
13248bt1 1656b1 1472e1 |
Quadratic twists by: -4 8 -3 |