Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gu |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
275653125000 = 23 · 36 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,-14803] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:130:1] |
Generators of the group modulo torsion |
j |
18865/8 |
j-invariant |
L |
10.321410136672 |
L(r)(E,1)/r! |
Ω |
0.76087372102009 |
Real period |
R |
2.2608679669833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050r1 54450bw1 54450db1 |
Quadratic twists by: -3 5 -11 |