Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150r |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5890560 |
Modular degree for the optimal curve |
Δ |
6.37232873472E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9233367,10732912541] |
[a1,a2,a3,a4,a6] |
Generators |
[149124555:-239650757:91125] |
Generators of the group modulo torsion |
j |
2264554101534759/16575889408 |
j-invariant |
L |
4.7611521499678 |
L(r)(E,1)/r! |
Ω |
0.1629930950864 |
Real period |
R |
14.605379906863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150dn1 111150dj1 |
Quadratic twists by: -3 5 |