Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792r |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2972169535488 = 218 · 3 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30177,-2026113] |
[a1,a2,a3,a4,a6] |
Generators |
[-78621948256:-11122956915:799178752] |
Generators of the group modulo torsion |
j |
11593815110137/11337927 |
j-invariant |
L |
10.397599194307 |
L(r)(E,1)/r! |
Ω |
0.36224703379824 |
Real period |
R |
14.351531156589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105792bm4 1653b3 |
Quadratic twists by: -4 8 |