Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624bl |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1497477966192 = -1 · 24 · 33 · 132 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1608,52857] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:203:1] |
Generators of the group modulo torsion |
j |
169943691008/553801023 |
j-invariant |
L |
8.3643190822277 |
L(r)(E,1)/r! |
Ω |
0.60048326789898 |
Real period |
R |
1.3929312337679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624j1 |
Quadratic twists by: 13 |