Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105393b |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-2002467 = -1 · 3 · 192 · 432 |
Discriminant |
Eigenvalues |
0 3+ 4 1 -2 3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,29,24] |
[a1,a2,a3,a4,a6] |
j |
1409024/1083 |
j-invariant |
L |
3.3606018531328 |
L(r)(E,1)/r! |
Ω |
1.680301261648 |
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 |
105393p1 |
Quadratic twists by: -43 |