Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562bb |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3814465462848 = 26 · 38 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4273,51881] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:131:1] [-10:-301:1] |
Generators of the group modulo torsion |
j |
1756232374625/776402496 |
j-invariant |
L |
16.364738177959 |
L(r)(E,1)/r! |
Ω |
0.70645858108218 |
Real period |
R |
0.48259311232827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74562s1 |
Quadratic twists by: 17 |