Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075f |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0777264906291E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54217875,153636961500] |
[a1,a2,a3,a4,a6] |
j |
23977812996389881/146611125 |
j-invariant |
L |
1.3397556480158 |
L(r)(E,1)/r! |
Ω |
0.16746945600205 |
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 |
81225bg4 5415l4 1425h3 |
Quadratic twists by: -3 5 -19 |