Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-55492764292968750 = -1 · 2 · 36 · 59 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-762867,-256520709] |
[a1,a2,a3,a4,a6] |
j |
-19465109/22 |
j-invariant |
L |
2.9075714501634 |
L(r)(E,1)/r! |
Ω |
0.080765873630452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bj1 54450hh1 4950bq1 |
Quadratic twists by: -3 5 -11 |