Atkin-Lehner |
3- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59409c |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
208409269613769 = 314 · 72 · 232 · 412 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21033,-941360] |
[a1,a2,a3,a4,a6] |
j |
1411599396089233/285883771761 |
j-invariant |
L |
0.80413245043594 |
L(r)(E,1)/r! |
Ω |
0.4020662275103 |
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 |
19803a2 |
Quadratic twists by: -3 |