Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109989g |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
4304462740677 = 37 · 117 · 101 |
Discriminant |
Eigenvalues |
0 3- -4 -3 11- 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23232,-1359284] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:60:1] |
Generators of the group modulo torsion |
j |
1073741824/3333 |
j-invariant |
L |
2.458232666859 |
L(r)(E,1)/r! |
Ω |
0.38677549435284 |
Real period |
R |
0.79446369800923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997986997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663e1 9999i1 |
Quadratic twists by: -3 -11 |