Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27225bx |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17404306650732375 = 310 · 53 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-308210,65629842] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:8666:1] |
Generators of the group modulo torsion |
j |
15069223/81 |
j-invariant |
L |
4.1543254878241 |
L(r)(E,1)/r! |
Ω |
0.39129006813901 |
Real period |
R |
2.6542492552789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9075h2 27225bu2 27225bv2 |
Quadratic twists by: -3 5 -11 |