Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bi |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.5594399331406E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12077442,-15822090284] |
[a1,a2,a3,a4,a6] |
Generators |
[-423768891:-3124545242:226981] |
Generators of the group modulo torsion |
j |
17104132791725468761/400280049000000 |
j-invariant |
L |
5.7466802111814 |
L(r)(E,1)/r! |
Ω |
0.081100749661454 |
Real period |
R |
8.8573166860699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044109 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37050bq2 22230bg2 |
Quadratic twists by: -3 5 |