Atkin-Lehner |
3- 5+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41055g |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
178466085 = 34 · 5 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-484,4001] |
[a1,a2,a3,a4,a6] |
Generators |
[19:32:1] |
Generators of the group modulo torsion |
j |
12501706118329/178466085 |
j-invariant |
L |
7.2532431448398 |
L(r)(E,1)/r! |
Ω |
1.8076751373719 |
Real period |
R |
1.0031176225873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165k2 |
Quadratic twists by: -3 |