Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540g |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
363946418481360 = 24 · 3 · 5 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,-2696370] |
[a1,a2,a3,a4,a6] |
Generators |
[-3879190:667486:42875] |
Generators of the group modulo torsion |
j |
2768896/165 |
j-invariant |
L |
4.0685235162547 |
L(r)(E,1)/r! |
Ω |
0.3430334283243 |
Real period |
R |
11.860428547095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000123753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540q1 |
Quadratic twists by: 13 |