Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989o |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
15783030049149 = 36 · 118 · 101 |
Discriminant |
Eigenvalues |
0 3- -3 0 11- 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28314,-1823803] |
[a1,a2,a3,a4,a6] |
j |
1943764992/12221 |
j-invariant |
L |
1.4727321575473 |
L(r)(E,1)/r! |
Ω |
0.36818300300682 |
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 |
12221a1 9999f1 |
Quadratic twists by: -3 -11 |