Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585r |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4463357436756106875 = 314 · 54 · 79 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-478935,-76973450] |
[a1,a2,a3,a4,a6] |
j |
412994303623/151723125 |
j-invariant |
L |
2.9932659789532 |
L(r)(E,1)/r! |
Ω |
0.18707912508443 |
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 |
27195l2 81585bd2 |
Quadratic twists by: -3 -7 |