Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045w |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.8581574832986E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6743700,6232170861] |
[a1,a2,a3,a4,a6] |
j |
46525488970492838779201/3920654983948677975 |
j-invariant |
L |
1.1171147445869 |
L(r)(E,1)/r! |
Ω |
0.1396393430761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015u5 |
Quadratic twists by: -3 |