Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gc |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.4374086860401E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6792070,-3164252803] |
[a1,a2,a3,a4,a6] |
Generators |
[3633:261721:1] [993:67021:1] |
Generators of the group modulo torsion |
j |
2747555975/1932612 |
j-invariant |
L |
13.155542132562 |
L(r)(E,1)/r! |
Ω |
0.06751015095218 |
Real period |
R |
6.0896129818128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bg2 54450dk1 4950k2 |
Quadratic twists by: -3 5 -11 |