Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830u |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-907166784392000 = -1 · 26 · 53 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13005,1333025] |
[a1,a2,a3,a4,a6] |
j |
1134778799/4232000 |
j-invariant |
L |
4.2486645300929 |
L(r)(E,1)/r! |
Ω |
0.35405537750775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27830k1 |
Quadratic twists by: -11 |