Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328bn |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
340146426900381696 = 218 · 38 · 76 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400179,93310450] |
[a1,a2,a3,a4,a6] |
j |
2373554016849457/113914350144 |
j-invariant |
L |
1.2008120785949 |
L(r)(E,1)/r! |
Ω |
0.30020301966595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5166s2 13776p2 |
Quadratic twists by: -4 -3 |