Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dn |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5320340566632000 = 26 · 39 · 53 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71012,-6364601] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:911:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
11.33637415041 |
L(r)(E,1)/r! |
Ω |
0.29506015119174 |
Real period |
R |
1.0672375809976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470a1 630a3 |
Quadratic twists by: -3 13 |