Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ds |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5371699583559375000 = -1 · 23 · 36 · 58 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-626742,-220992084] |
[a1,a2,a3,a4,a6] |
j |
-53969305/10648 |
j-invariant |
L |
2.0147010341691 |
L(r)(E,1)/r! |
Ω |
0.083945876424805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bn2 54450gh2 4950bu2 |
Quadratic twists by: -3 5 -11 |