Atkin-Lehner |
3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
112167k |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4069251553886937 = 39 · 117 · 1032 |
Discriminant |
Eigenvalues |
1 3- 0 2 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44127,1830384] |
[a1,a2,a3,a4,a6] |
Generators |
[-2101344:-2187772:9261] |
Generators of the group modulo torsion |
j |
7357983625/3150873 |
j-invariant |
L |
7.5353001028741 |
L(r)(E,1)/r! |
Ω |
0.39644791599552 |
Real period |
R |
9.5035183512324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37389b1 10197e1 |
Quadratic twists by: -3 -11 |