Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ds |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.084408797457E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65797880,-205411677253] |
[a1,a2,a3,a4,a6] |
Generators |
[-4691:3745:1] |
Generators of the group modulo torsion |
j |
2765743206908599185841/44636785053120 |
j-invariant |
L |
9.674568410369 |
L(r)(E,1)/r! |
Ω |
0.053008681315204 |
Real period |
R |
3.8022735786849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000028504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050v4 22230l4 |
Quadratic twists by: -3 5 |