Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168o |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24233852928 = -1 · 214 · 3 · 793 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,8111] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:108:1] |
Generators of the group modulo torsion |
j |
-549250000/1479117 |
j-invariant |
L |
6.0795836946722 |
L(r)(E,1)/r! |
Ω |
1.0565299153454 |
Real period |
R |
2.8771469725419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168a2 3792c2 45504bi2 |
Quadratic twists by: -4 8 -3 |