Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573x |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
90555309172889253 = 36 · 79 · 11 · 234 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147083,16216134] |
[a1,a2,a3,a4,a6] |
Generators |
[-207163:207802485:50653] |
Generators of the group modulo torsion |
j |
11961853903/3078251 |
j-invariant |
L |
5.8456974878416 |
L(r)(E,1)/r! |
Ω |
0.31753671384603 |
Real period |
R |
9.2047583404898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12397m2 111573y2 |
Quadratic twists by: -3 -7 |