Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168p |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
167719735296 = 212 · 38 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8537,300135] |
[a1,a2,a3,a4,a6] |
Generators |
[1:540:1] |
Generators of the group modulo torsion |
j |
16800820020928/40947201 |
j-invariant |
L |
6.6023377736055 |
L(r)(E,1)/r! |
Ω |
1.0216700358073 |
Real period |
R |
1.6155748779469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15168h2 7584a1 45504bl2 |
Quadratic twists by: -4 8 -3 |