Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520u |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
26910720000 = 216 · 32 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136896,-19541196] |
[a1,a2,a3,a4,a6] |
j |
69269046933912769/6570000 |
j-invariant |
L |
0.99279960218553 |
L(r)(E,1)/r! |
Ω |
0.24819990054638 |
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 |
2190j1 70080by1 52560bq1 87600bg1 |
Quadratic twists by: -4 8 -3 5 |