Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bt |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-828923403515625 = -1 · 313 · 58 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11+ -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32742,-2659959] |
[a1,a2,a3,a4,a6] |
Generators |
[16692:154707:64] |
Generators of the group modulo torsion |
j |
-10241915/2187 |
j-invariant |
L |
6.263680091982 |
L(r)(E,1)/r! |
Ω |
0.1754514311293 |
Real period |
R |
4.4625455971386 |
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 |
9075r1 27225bd1 27225bw1 |
Quadratic twists by: -3 5 -11 |