Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968w |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
2884423829456 = 24 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 2 2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11717,-477400] |
[a1,a2,a3,a4,a6] |
j |
1048576/17 |
j-invariant |
L |
3.674592701287 |
L(r)(E,1)/r! |
Ω |
0.45932408765474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11492c1 45968x1 |
Quadratic twists by: -4 13 |