Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5406k |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
750 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-350817796780720128 = -1 · 225 · 35 · 172 · 533 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 5 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81939,29885985] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-5547:1] |
Generators of the group modulo torsion |
j |
-60840954898968260017/350817796780720128 |
j-invariant |
L |
5.7560552690791 |
L(r)(E,1)/r! |
Ω |
0.26184398401245 |
Real period |
R |
0.0293103558889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248u1 16218e1 91902u1 |
Quadratic twists by: -4 -3 17 |