Atkin-Lehner |
2- 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650q |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.9117575854509E+35 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57115116463,-21682713719294219] |
[a1,a2,a3,a4,a6] |
Generators |
[2031466912924222644301299453:3750991812669302767955876582014:592316075223044123463] |
Generators of the group modulo torsion |
j |
-1318733036704526219830465322655529/12235248546885726208000000000000 |
j-invariant |
L |
15.165413006018 |
L(r)(E,1)/r! |
Ω |
0.0042671687057502 |
Real period |
R |
37.020578055221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330a3 |
Quadratic twists by: 5 |