Atkin-Lehner |
2- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174j |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80098230956432 = 24 · 138 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 0 2 6 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-244293,46452145] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:9769:1] |
Generators of the group modulo torsion |
j |
334038694641625/16594448 |
j-invariant |
L |
8.6248239808797 |
L(r)(E,1)/r! |
Ω |
0.57478952145465 |
Real period |
R |
1.8756483122456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398a2 |
Quadratic twists by: 13 |