Atkin-Lehner |
2- 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422i |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6059664 = 24 · 33 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-881,-9839] |
[a1,a2,a3,a4,a6] |
j |
2797856555571/224432 |
j-invariant |
L |
3.5055501001557 |
L(r)(E,1)/r! |
Ω |
0.87638752503893 |
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 |
19422c1 |
Quadratic twists by: -3 |