Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442p |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-2226773651761152 = -1 · 211 · 37 · 136 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 3 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31269,3109264] |
[a1,a2,a3,a4,a6] |
j |
-700463661841/461334528 |
j-invariant |
L |
5.9718148296462 |
L(r)(E,1)/r! |
Ω |
0.42655821569158 |
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 |
618f1 |
Quadratic twists by: 13 |