Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bq |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-9.9797021256582E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3630042,3066296116] |
[a1,a2,a3,a4,a6] |
Generators |
[884:-23842:1] |
Generators of the group modulo torsion |
j |
-464420278746899929/87613297125120 |
j-invariant |
L |
3.7711283612682 |
L(r)(E,1)/r! |
Ω |
0.14994290962776 |
Real period |
R |
1.5719017517121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050bs1 22230bp1 |
Quadratic twists by: -3 5 |