Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ek |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-15147971123281920 = -1 · 216 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12872,-5944949] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/176619520 |
j-invariant |
L |
5.5447962673569 |
L(r)(E,1)/r! |
Ω |
0.17327488336162 |
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 |
5390d1 6930bc1 |
Quadratic twists by: -3 -7 |