Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bw |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-1.4684883736555E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 11+ 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3961805,3552290822] |
[a1,a2,a3,a4,a6] |
Generators |
[-8226:650975:8] |
Generators of the group modulo torsion |
j |
-10241915/2187 |
j-invariant |
L |
3.1352650910137 |
L(r)(E,1)/r! |
Ω |
0.14468795912227 |
Real period |
R |
2.7086437513818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9075p1 27225bb1 27225bt1 |
Quadratic twists by: -3 5 -11 |