Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27040q |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-17576000000 = -1 · 29 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403,7098] |
[a1,a2,a3,a4,a6] |
Generators |
[38:216:1] |
Generators of the group modulo torsion |
j |
-6434856/15625 |
j-invariant |
L |
4.2115615441225 |
L(r)(E,1)/r! |
Ω |
1.0885635280456 |
Real period |
R |
3.8689166370325 |
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 |
27040e2 54080bu2 27040n2 |
Quadratic twists by: -4 8 13 |