Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966u |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10878814130913792 = 29 · 36 · 72 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20667312,36168971008] |
[a1,a2,a3,a4,a6] |
Generators |
[-39986:986035:8] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
4.6945772708686 |
L(r)(E,1)/r! |
Ω |
0.28421515457626 |
Real period |
R |
8.258844033035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774k6 126a6 |
Quadratic twists by: -3 29 |