Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515i |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.6273021341899E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1572417831,23999204266920] |
[a1,a2,a3,a4,a6] |
Generators |
[24441:397689:1] |
Generators of the group modulo torsion |
j |
89077388930693421764046841/199454797863140625 |
j-invariant |
L |
3.9222636926002 |
L(r)(E,1)/r! |
Ω |
0.075998609798768 |
Real period |
R |
4.3008064042459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5655h2 |
Quadratic twists by: 13 |