Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cb |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
7056720000000000 = 213 · 36 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1220742,519428916] |
[a1,a2,a3,a4,a6] |
Generators |
[-1275:2046:1] |
Generators of the group modulo torsion |
j |
233551483825/8192 |
j-invariant |
L |
5.0681796369844 |
L(r)(E,1)/r! |
Ω |
0.39239806956411 |
Real period |
R |
6.4579568938203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bg1 54450hf1 54450fz1 |
Quadratic twists by: -3 5 -11 |