Atkin-Lehner |
7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46529c |
Isogeny class |
Conductor |
46529 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132736 |
Modular degree for the optimal curve |
Δ |
-133648536812119 = -1 · 72 · 179 · 23 |
Discriminant |
Eigenvalues |
1 2 2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9109,-652920] |
[a1,a2,a3,a4,a6] |
j |
-704969/1127 |
j-invariant |
L |
5.786269549796 |
L(r)(E,1)/r! |
Ω |
0.23145078200842 |
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 |
46529e1 |
Quadratic twists by: 17 |