Atkin-Lehner |
2+ 3- 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118f |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43922279836512 = 25 · 38 · 74 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9237,121984] |
[a1,a2,a3,a4,a6] |
Generators |
[8:216:1] |
Generators of the group modulo torsion |
j |
87146300340347977/43922279836512 |
j-invariant |
L |
4.4079402456003 |
L(r)(E,1)/r! |
Ω |
0.56668796070062 |
Real period |
R |
0.97230322313387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bs2 |
Quadratic twists by: -3 |