Atkin-Lehner |
3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225be |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
2014387343834765625 = 37 · 58 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368105,-52123728] |
[a1,a2,a3,a4,a6] |
j |
205379/75 |
j-invariant |
L |
0.79899842277891 |
L(r)(E,1)/r! |
Ω |
0.19974960569468 |
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 |
9075b1 5445i1 27225bc1 |
Quadratic twists by: -3 5 -11 |