Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585u |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3020470510470525 = 37 · 52 · 79 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37494,913275] |
[a1,a2,a3,a4,a6] |
j |
198155287/102675 |
j-invariant |
L |
3.1718229493311 |
L(r)(E,1)/r! |
Ω |
0.39647787152221 |
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 |
27195n2 81585m2 |
Quadratic twists by: -3 -7 |