Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ig |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-231507591480000 = -1 · 26 · 33 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6211,753839] |
[a1,a2,a3,a4,a6] |
j |
-1931776/16875 |
j-invariant |
L |
2.8634545880558 |
L(r)(E,1)/r! |
Ω |
0.47724231688846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160gb1 58080o1 116160ie1 |
Quadratic twists by: -4 8 -11 |