Atkin-Lehner |
2- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174r |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
33320864077875712 = 29 · 139 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101986800,396453257555] |
[a1,a2,a3,a4,a6] |
Generators |
[-4605:878905:1] |
Generators of the group modulo torsion |
j |
11062809483063715125/3142144 |
j-invariant |
L |
6.6745481039619 |
L(r)(E,1)/r! |
Ω |
0.2184372993431 |
Real period |
R |
3.3950999026769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109174h2 |
Quadratic twists by: 13 |