Atkin-Lehner |
7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209l |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
694848 |
Modular degree for the optimal curve |
Δ |
2853709377196873013 = 711 · 137 · 23 |
Discriminant |
Eigenvalues |
0 2 4 7- 5 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-604231,161682029] |
[a1,a2,a3,a4,a6] |
j |
5054443262672896/591220696157 |
j-invariant |
L |
5.412722285658 |
L(r)(E,1)/r! |
Ω |
0.24603283116626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093b1 |
Quadratic twists by: 13 |