Atkin-Lehner |
3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225f |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-59541075 = -1 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8817,320876] |
[a1,a2,a3,a4,a6] |
j |
-1273201875 |
j-invariant |
L |
3.2878189423775 |
L(r)(E,1)/r! |
Ω |
1.6439094711887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27225j1 27225y1 27225k1 |
Quadratic twists by: -3 5 -11 |