Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548k |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-143167724313328 = -1 · 24 · 118 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 0 11- 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33194,-2386855] |
[a1,a2,a3,a4,a6] |
j |
-142705092352/5050903 |
j-invariant |
L |
3.1766819491154 |
L(r)(E,1)/r! |
Ω |
0.17648235090654 |
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 |
10868c1 |
Quadratic twists by: -11 |