Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dr |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-14406966475259904 = -1 · 215 · 35 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57951,2144799] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-3528:1] |
Generators of the group modulo torsion |
j |
5582912824/3737097 |
j-invariant |
L |
9.8696386571594 |
L(r)(E,1)/r! |
Ω |
0.24842717475355 |
Real period |
R |
0.99321246773893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304bf1 61152bo1 17472s1 |
Quadratic twists by: -4 8 -7 |