Atkin-Lehner |
3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225l |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
90432652921875 = 33 · 56 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50480,-4328728] |
[a1,a2,a3,a4,a6] |
j |
19034163/121 |
j-invariant |
L |
1.2745201340679 |
L(r)(E,1)/r! |
Ω |
0.318630033517 |
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 |
27225h2 1089c2 2475a2 |
Quadratic twists by: -3 5 -11 |