Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bj |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.9582915595199E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4578192,652056966] |
[a1,a2,a3,a4,a6] |
Generators |
[-1827:54909:1] |
Generators of the group modulo torsion |
j |
931661646976029241/523087324841250 |
j-invariant |
L |
5.6981570657378 |
L(r)(E,1)/r! |
Ω |
0.11621808151803 |
Real period |
R |
3.0643666636569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050cc3 22230bf3 |
Quadratic twists by: -3 5 |