Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bf |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-43415499121021872 = -1 · 24 · 39 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255528,-50717745] |
[a1,a2,a3,a4,a6] |
j |
-1213857792/28561 |
j-invariant |
L |
5.3012191485146 |
L(r)(E,1)/r! |
Ω |
0.10602438297029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6084d1 97344ec1 24336bg1 1872m1 |
Quadratic twists by: -4 8 -3 13 |