Atkin-Lehner |
2- 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540x |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
329153297760000 = 28 · 312 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17967,311974] |
[a1,a2,a3,a4,a6] |
j |
3437026826704/1763724375 |
j-invariant |
L |
3.8217699599876 |
L(r)(E,1)/r! |
Ω |
0.4777212389963 |
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 |
33180m2 |
Quadratic twists by: -3 |