Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ha |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
16876903418892000 = 25 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128525,16629077] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:32140:1] |
Generators of the group modulo torsion |
j |
12019997/864 |
j-invariant |
L |
11.174600408239 |
L(r)(E,1)/r! |
Ω |
0.38233806597058 |
Real period |
R |
0.24355845874743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bq1 54450dl1 54450dm1 |
Quadratic twists by: -3 5 -11 |