Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944p |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
4995648 = 26 · 33 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
5832000/2891 |
j-invariant |
L |
6.316784119249 |
L(r)(E,1)/r! |
Ω |
1.9397279751518 |
Real period |
R |
1.6282654526909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944a1 118944e1 |
Quadratic twists by: -4 -3 |