Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450y |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-8438451709446000 = -1 · 24 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19398,-4300444] |
[a1,a2,a3,a4,a6] |
Generators |
[45920:-306342:343] |
Generators of the group modulo torsion |
j |
185193/1936 |
j-invariant |
L |
5.198682362875 |
L(r)(E,1)/r! |
Ω |
0.20379508801066 |
Real period |
R |
6.3773401185069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450er1 54450es1 4950bb1 |
Quadratic twists by: -3 5 -11 |