Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bm |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-282424447401984 = -1 · 216 · 314 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 0 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11589,-650518] |
[a1,a2,a3,a4,a6] |
j |
57646656647/94583376 |
j-invariant |
L |
1.1560607910673 |
L(r)(E,1)/r! |
Ω |
0.28901546600667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218r1 43248p1 |
Quadratic twists by: -4 -3 |