Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gp |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-443942114343750000 = -1 · 24 · 36 · 59 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-150305,39161697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1098:61045:8] |
Generators of the group modulo torsion |
j |
-148877/176 |
j-invariant |
L |
10.082748590802 |
L(r)(E,1)/r! |
Ω |
0.26909176215685 |
Real period |
R |
2.3418471894909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6050o1 54450cv1 4950q1 |
Quadratic twists by: -3 5 -11 |