Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600fv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
255000000 = 26 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8508,-299238] |
[a1,a2,a3,a4,a6] |
j |
68117264704/255 |
j-invariant |
L |
1.9883759886455 |
L(r)(E,1)/r! |
Ω |
0.49709400806521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ih1 40800w4 16320dc1 |
Quadratic twists by: -4 8 5 |