Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075f |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.0688650707245E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11168625,-11638856250] |
[a1,a2,a3,a4,a6] |
j |
209595169258201/41748046875 |
j-invariant |
L |
1.3397556480158 |
L(r)(E,1)/r! |
Ω |
0.083734728001023 |
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 |
81225bg3 5415l3 1425h4 |
Quadratic twists by: -3 5 -19 |