Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886bu |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
1.4718863229784E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23975608,-45150141376] |
[a1,a2,a3,a4,a6] |
j |
7110352307247726625/6866458324992 |
j-invariant |
L |
7.3689578533936 |
L(r)(E,1)/r! |
Ω |
0.068231092713295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116886o1 |
Quadratic twists by: -11 |