Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46728p |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
39242548224 = 210 · 310 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,26030] |
[a1,a2,a3,a4,a6] |
j |
768400132/52569 |
j-invariant |
L |
2.2565103460287 |
L(r)(E,1)/r! |
Ω |
1.1282551731794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456m1 15576a1 |
Quadratic twists by: -4 -3 |