Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188r |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
348685568 = 28 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11- 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16973,856793] |
[a1,a2,a3,a4,a6] |
Generators |
[67:126:1] |
Generators of the group modulo torsion |
j |
5851644928000/3773 |
j-invariant |
L |
11.943298691705 |
L(r)(E,1)/r! |
Ω |
1.4087601043247 |
Real period |
R |
0.94198663396296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188p2 |
Quadratic twists by: -19 |