Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166z |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
150841782966 = 2 · 3 · 710 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139602,20064750] |
[a1,a2,a3,a4,a6] |
Generators |
[9445106:254871977:10648] |
Generators of the group modulo torsion |
j |
2557470230629777/1282134 |
j-invariant |
L |
10.80176922511 |
L(r)(E,1)/r! |
Ω |
0.84176267934523 |
Real period |
R |
12.832321377698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78498r4 3738c3 |
Quadratic twists by: -3 -7 |