Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bq |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
75079008200448 = 28 · 38 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13215,-410006] |
[a1,a2,a3,a4,a6] |
j |
1367595682000/402300927 |
j-invariant |
L |
2.7320531404465 |
L(r)(E,1)/r! |
Ω |
0.45534219007441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4788b2 76608fi2 6384bc2 |
Quadratic twists by: -4 8 -3 |