Atkin-Lehner |
2+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11186b |
Isogeny class |
Conductor |
11186 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74058928627712 = 213 · 72 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45671,3714869] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-47:1] |
Generators of the group modulo torsion |
j |
10535620844953113337/74058928627712 |
j-invariant |
L |
4.1333594011625 |
L(r)(E,1)/r! |
Ω |
0.61671254466631 |
Real period |
R |
3.3511231747353 |
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 |
89488k2 100674bh2 78302d2 |
Quadratic twists by: -4 -3 -7 |