Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130bj |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-112450208922025920 = -1 · 26 · 32 · 5 · 112 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31580,16001765] |
[a1,a2,a3,a4,a6] |
j |
10793861/348480 |
j-invariant |
L |
3.0147610566511 |
L(r)(E,1)/r! |
Ω |
0.25123015504989 |
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 |
119130t1 |
Quadratic twists by: -19 |