Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444b |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
132450214454477568 = 28 · 311 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3361359,-2371966922] |
[a1,a2,a3,a4,a6] |
Generators |
[30659:5358474:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
7.7196711599554 |
L(r)(E,1)/r! |
Ω |
0.11149917443607 |
Real period |
R |
5.7696026327137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38148n2 396a2 |
Quadratic twists by: -3 17 |