Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ek |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
195880550400 = 218 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12108,-512368] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:20:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
3.0685436419459 |
L(r)(E,1)/r! |
Ω |
0.45515306204768 |
Real period |
R |
1.6854460078824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080x1 29520bz1 13120bm1 |
Quadratic twists by: -4 8 -3 |