Atkin-Lehner |
2- 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576j |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1314264528 = 24 · 37 · 232 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570,-4939] |
[a1,a2,a3,a4,a6] |
j |
1755904000/112677 |
j-invariant |
L |
3.9240567503935 |
L(r)(E,1)/r! |
Ω |
0.98101436404387 |
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 |
39192b1 |
Quadratic twists by: -3 |