Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376n |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1746720844679168 = 211 · 318 |
Discriminant |
Eigenvalues |
2+ -2 2 0 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31072,-643692] |
[a1,a2,a3,a4,a6] |
j |
1825346/961 |
j-invariant |
L |
0.76279036080347 |
L(r)(E,1)/r! |
Ω |
0.38139518040174 |
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 |
7688l2 61504by2 496c2 |
Quadratic twists by: -4 8 -31 |