Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432x |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
82764217516032 = 216 · 32 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57153,5221791] |
[a1,a2,a3,a4,a6] |
Generators |
[105:624:1] |
Generators of the group modulo torsion |
j |
315042014258500/1262881737 |
j-invariant |
L |
7.4770050623706 |
L(r)(E,1)/r! |
Ω |
0.61070022785133 |
Real period |
R |
1.5304163813478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432br1 5304a1 127296bj1 |
Quadratic twists by: -4 8 -3 |