Atkin-Lehner |
3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bc |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-85280185546875 = -1 · 38 · 510 · 113 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9333,275116] |
[a1,a2,a3,a4,a6] |
j |
5929741/5625 |
j-invariant |
L |
3.1804622411853 |
L(r)(E,1)/r! |
Ω |
0.39755778014824 |
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 |
9075d2 5445j2 27225be2 |
Quadratic twists by: -3 5 -11 |