Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bp |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-562486602240000 = -1 · 212 · 310 · 54 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14412,1321184] |
[a1,a2,a3,a4,a6] |
j |
-110868710464/188375625 |
j-invariant |
L |
3.7095715402635 |
L(r)(E,1)/r! |
Ω |
0.46369644367753 |
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 |
87840r2 29280c2 |
Quadratic twists by: -4 -3 |