Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064n |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
11273973942528 = 28 · 39 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72772,7578628] |
[a1,a2,a3,a4,a6] |
j |
125084815334768/33087123 |
j-invariant |
L |
2.8026497916404 |
L(r)(E,1)/r! |
Ω |
0.70066256758851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119064b1 |
Quadratic twists by: -11 |