Atkin-Lehner |
3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15867b |
Isogeny class |
Conductor |
15867 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
74492531911881 = 312 · 41 · 434 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11151,-178848] |
[a1,a2,a3,a4,a6] |
Generators |
[-46102:186451:2744] |
Generators of the group modulo torsion |
j |
210358244856817/102184543089 |
j-invariant |
L |
6.9069798058571 |
L(r)(E,1)/r! |
Ω |
0.48784419116973 |
Real period |
R |
7.0790837842057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5289e1 |
Quadratic twists by: -3 |